{"id":1042,"date":"2019-06-14T14:09:27","date_gmt":"2019-06-14T21:09:27","guid":{"rendered":"https:\/\/www.hmc.edu\/mathematics\/?page_id=1042"},"modified":"2026-01-20T10:47:51","modified_gmt":"2026-01-20T18:47:51","slug":"archives","status":"publish","type":"page","link":"https:\/\/www.hmc.edu\/mathematics\/capstone\/senior-thesis\/archives\/","title":{"rendered":"Senior Thesis Archives"},"content":{"rendered":"\n
\n

Math Thesis Contacts<\/h2>\n\n\n\n

Thesis Coordinator<\/h3>\n\n\n\n

Heather Zinn Brooks
hzinnbrooks@hmc.edu<\/a>
909.607.1560<\/a><\/p>\n\n\n\n

Program Coordinator<\/h3>\n\n\n\n

DruAnn Thomas
dthomas@hmc.edu<\/a>
909.621.8896<\/a><\/p>\n\n\n\n

IT Analyst<\/h3>\n\n\n\n

Melissa Hernandez-Alvarez
mhernandezalvarez@hmc.edu<\/a>
909.607.3618<\/a><\/p>\n\n\n\n

Math Thesis Resources<\/h2>\n\n\n\n

Thesis Hub<\/a><\/h3>\n\n\n\n

Templates<\/a><\/h3>\n\n\n\n

Past Projects<\/a><\/h3>\n<\/div>\n\n\n\n

Each year below contains a list of students who took Math 197 in that year and their corresponding thesis information. Full theses and abstracts are available from Scholarship@Claremont<\/a>.<\/p>\n\n\n\n

Clicking a student’s name will take you to their Scholarship@Claremont<\/a> profile. Clicking on a thesis title will take you directly to the thesis PDF.<\/p>\n\n\n\n

Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Bea Araiza<\/strong><\/td>Dagan Karp<\/td>Edray Goins<\/td>Tropical Linear Series<\/td><\/tr>
Camilo Morales<\/a><\/strong><\/strong><\/td>Heather Z. Brooks<\/td>Emily Heath<\/td>Measuring the Similarity between Trees of Different Order<\/a><\/td><\/tr>
Danny Vargas<\/a><\/strong><\/td>Dagan Karp and Yifeng Huang<\/td>Ken Ono<\/td>Galois Theory and the Arithmetic-Geometric Series<\/a><\/td><\/tr>
Max Collins<\/strong><\/td>Susan Martonosi<\/td>Alice Paul<\/td>New Algorithms for Solving the All-Pairs Vitality Maximization Problem<\/td><\/tr>
Nathan Hasegawa<\/a><\/strong><\/td>Andrew Bernoff<\/td>Heather Z. Brooks<\/td>Collision Avoidance and Vegetation as Drivers of Collective Motion in Australian Plague Locusts<\/a><\/td><\/tr><\/tbody><\/table>
2024\u20132025<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Clay Adams<\/strong><\/td>Konrad Aguilar<\/td>Alfonso Castro<\/td>Calculus without Limits: Adventures in Nonstandard Analysis<\/td><\/tr>
Toby Anderson<\/a><\/strong><\/td>Dagan Karp<\/td>Siddarth Kannan<\/td>The Dual Boundary Complex of the Moduli Space of Cyclic Compactifications<\/a><\/td><\/tr>
Niles Babin<\/strong><\/td>Lisette de Pillis<\/td>Kelvin Qui\u00f1ones-Laracuente<\/td>Analyzing dynamic neural connectivity during social transmission<\/td><\/tr>
Jasper Bown<\/strong><\/td>Javier Gonz\u00e1lez Anaya<\/td>Patricio Gallardo<\/td>Connecting Moduli, Polytopes, and hypergraphs<\/td><\/tr>
Delaney Cohn<\/strong><\/td>Arthur Benjamin<\/td>Peter Kagey<\/td>Padovan Numbers are Cool: Combinatorial Exploration of the Padovan Numbers<\/td><\/tr>
Tian Dong<\/a><\/strong><\/td>Heather Z. Brooks<\/td>Andrew Bernoff<\/td>Exploring Sigmoidal Bounded Confidence Models with Mean Field Methods<\/a><\/td><\/tr>
Kai Rajesh<\/a><\/strong><\/td>Peter Kagey<\/td>Arthur Benjamin<\/td>Solving Robert Wilson’s t\u22602 Conjecture on Graham Sequences<\/a><\/td><\/tr>
Emma Zhang<\/a><\/strong><\/td>Weiqing Gu<\/td>Daniel Tamayo<\/td>Probing the Ising Model’s Thermodynamics through Restricted Boltzmann Machines<\/a><\/td><\/tr><\/tbody><\/table>
2023\u20132024<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Tom\u00e1s Aguilar-Fraga<\/a><\/strong><\/td>Mohamed Omar<\/td>Francis Su<\/td>An Inquiry into Lorentzian Polynomials<\/a><\/td><\/tr>
RJ Barnes<\/strong><\/td>Haydee Lindo<\/td>Edray Goins<\/td>Trace Ideals and m-Torsionless R-Modules<\/td><\/tr>
Claire Chang<\/a><\/strong><\/td>Jamie Haddock<\/td>Michael Orrison<\/td>The Sensitivity of a Laplacian Family of Ranking Methods<\/a><\/td><\/tr>
Kausik Das<\/a><\/strong><\/td>Ali Nadim<\/td>Maria K. Cameron<\/td>Modeling self-diffusiophoretic Janus particles in fluid<\/a><\/td><\/tr>
Hannah Friedman<\/a><\/strong><\/td>Michael Orrison<\/td>Peter Kagey<\/td>Long Increasing Subsequences<\/a><\/td><\/tr>
David Garcia<\/a><\/strong><\/td>Jina Kim<\/td>Alfonso Castro<\/td>Beginner’s Analysis of Financial Stochastic Process Models<\/a><\/td><\/tr>
Bradley Gonmiah<\/strong><\/td>Jon Jacobsen<\/td>David K. Seitz<\/td>Constraints on Math and Physics Teachers<\/td><\/tr>
Madison T. Hobbs<\/strong><\/td>Philip D. Cha<\/td>Jon Jacobsen<\/td>Inerter-Based Vibration Absorbers for a Harmonically Driven, Arbitrarily Supported Damped Beam<\/td><\/tr>
Justin Jiang<\/a><\/strong><\/td>Weiqing Gu<\/td>Jina Kim<\/td>Graph Learning on Multi-Modality Medical Data to Generate Clinical Predictions<\/a><\/td><\/tr>
Yoni Maltsman<\/a><\/strong><\/td>Jon Jacobsen<\/td>Calden Wloka<\/td>A Visual Tour of Dynamical Systems on Color Space<\/a><\/td><\/tr>
Emme McMullen<\/a><\/strong><\/td>Heather Z. Brooks<\/td>Mason A. Porter<\/td>Multilayer Network Model of Gender Bias and Homophily in Hierarchical Structures<\/a><\/td><\/tr>
Zooey Meznarich<\/strong><\/td>Susan Martonosi<\/td>Ruben Proa\u00f1o<\/td>Strategies for the Global Alliance for Vaccines and Immunization in International Vaccine Pricing and Procurement<\/td><\/tr>
Prakod Ngamlamai<\/a><\/strong><\/td>Peter Kagey<\/td>Michael Orrison<\/td>Generalized Far-Difference Representations<\/a><\/td><\/tr>
Tanis Nielsen<\/a><\/strong><\/td>Lenny Fukshansky<\/td>Michael Orrison<\/td>Explorations in Well-Rounded Lattices<\/a><\/td><\/tr>
Kate Perkins<\/a><\/strong><\/td>Francis Su<\/td>Cosmin Pohoata<\/td>Discrete Analogues of the Poincar\u00e9-Hopf Theorem<\/a><\/td><\/tr>
Ian Shors<\/a><\/strong><\/td>Michael Orrison <\/td>Gizem Karaali<\/td>Permutations, Representations, and Partition Algebras: A Random Walk through Algebraic Statistics<\/a><\/td><\/tr>
Maxwell Thum<\/a><\/strong><\/td>Weiqing Gu<\/td>Heather Z. Brooks<\/td>Formalizing Discrete Exterior Calculus in Lean<\/a><\/td><\/tr>
Cedar Turek<\/strong><\/td>Haydee Lindo<\/td>Francis Su<\/td>A Gentle Introduction to Differential Topology<\/td><\/tr><\/tbody><\/table>
2022\u20132023<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Mason Acevedo<\/a><\/th>Michael Orrison<\/td>Darryl Yong<\/td>An Exploration of Voting with Partial Orders<\/a><\/td><\/tr>
Madelyn Andersen<\/a><\/th>Haydee Lindo<\/td>Michael Orrison<\/td>What is a Trace Module? A Short Peek into Ring Theory<\/a><\/td><\/tr>
Eric Chavez<\/th>Sam Nelson<\/td>Francis Su<\/td>Trivial Quotients of Fundamental Tribrackets and Link Homotopy<\/td><\/tr>
Aitz\u00edn Cornejo-Reynoso<\/th>Dagan Karp<\/td>Robin Wilson<\/td>Tracking in the 2022 Revision of the California Math Framework<\/td><\/tr>
William Gilroy<\/a><\/th>Jamie Haddock<\/td>Heather Z. Brooks<\/td>Check Yourself Before You WREK Yourself: Unpacking and Generalizing Random Extended Kaczmarz<\/a><\/td><\/tr>
Amit Harlev<\/a><\/th>Francis Su<\/td>Mohamed Omar<\/td>On the Polytopal Generalization of Sperner’s Lemma<\/a><\/td><\/tr>
Max Holloway<\/a><\/th>Susan Martonosi<\/td>Yaron Raviv<\/td>Mechanisms for the Efficient Hedging of Public Information Events<\/a><\/td><\/tr>
Benjamin Langton<\/a><\/th>Mohamed Omar<\/td>Michael Orrison<\/td>Results on the Generalized Covering Radius of Error Correcting Codes<\/a><\/td><\/tr>
Athena Li<\/th>Darryl Yong<\/td>Ilana Horn<\/td>Acoustic Localization in the Classroom: A Mathematician’s Journey into the World of Engineering<\/td><\/tr>
Ryan Martinez<\/a><\/th>Sam Nelson<\/td>Alfonso Castro<\/td>Algebraic Invariants of Knot Diagrams on Surfaces<\/a><\/td><\/tr>
Lian Morales<\/th>Lisette de Pillis<\/td>Jishnu Das<\/td>Discovering Underlying Molecular Networks between two Different Rheumatoid Arthritis Endotypes<\/td><\/tr>
Fletcher Nickerson<\/th>Francis Su<\/td>Satyan Devadoss<\/td>Folding Hypercubes (and failing)<\/td><\/tr>
Phousawanh Peaungvongpakdy<\/a><\/th>Heather Z. Brooks<\/td>Andrew Bernoff<\/td>An Adaptive Hegselmann-Krause Model of Opinion Dynamics<\/a><\/td><\/tr>
Kye Shi<\/a><\/th>Nicholas Pippenger<\/td>Arthur Benjamin<\/td>Games for One, Games for Two: Computationally Complex Fun for Polynomial-Hierarchical Families<\/a><\/td><\/tr>
Solomon Valore-Caplan<\/a><\/th>Heather Z. Brooks<\/td>Vin de Silva<\/td>Smoothed Bounded-Confidence Opinion Dynamics on the Complete Graph<\/a><\/td><\/tr><\/tbody><\/table>
2021\u20132022<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Aria Beaupre<\/a><\/th>Mohamed Omar<\/td>David Milan<\/td>On the Inverse Hull of a One-sided Shift of Finite Type<\/a><\/td><\/tr>
Zoe Bell<\/a><\/th>Nicholas Pippenger<\/td>Ran Libeskind-Hadas<\/td>Going Meta on the Minimum Circuit Size Problem: How Hard Is It
to Show How Hard Showing Hardness Is?<\/a><\/td><\/tr>
Ellie Byrnes<\/a><\/th>Jon Jacobsen<\/td>Jasper Weinburd<\/td>Fractals, Fractional Derivatives, and Newton-Like Methods<\/a><\/td><\/tr>
Max Chao-Haft<\/a><\/th>Francis Su<\/td>Dagan Karp<\/td>Discrete Vector Fields on Polytopal Complexes<\/a><\/td><\/tr>
Natasha Crepeau<\/a><\/th>Dagan Karp<\/td><\/td>On the Tropicalization of Lines onto Tropical Quadrics<\/a><\/td><\/tr>
Elisha Dayag<\/th>Nicholas Pippenger<\/td>Jasper Weinburd<\/td>An Exploration of Gaussian Resampling<\/td><\/tr>
Daniela Elizondo<\/th>Arthur Benjamin<\/td>Haydee Lindo<\/td>Counting on the Hosoya Triangle<\/td><\/tr>
Matthew LeMay<\/a><\/th>Mohamed Omar<\/td>Nicholas Pippenger<\/td>The Complexity of Symmetry<\/a><\/td><\/tr>
John Lentfer<\/a><\/th>Arthur Benjamin<\/td>Francis Su<\/td>Tiling Representations of Zeckendorf Decompositions<\/a><\/td><\/tr>
Feiyang Lin<\/a><\/th>Gregg Musiker<\/td>Dagan Karp<\/td>On Rank-Two and Affine Cluster Algebras<\/a><\/td><\/tr>
Kailee Lin<\/a><\/th>Francis Su<\/td>Arthur Benjamin<\/td>Exploring Winning Strategies for the Game of Cycles<\/a><\/td><\/tr>
Jawahar Madan<\/a><\/th>Dagan Karp<\/td>Renzo Cavalieri<\/td>Towards Tropical Psi Classes<\/a><\/td><\/tr>
Thomas Martinez<\/a><\/th>Mohamed Omar<\/td>Arthur Benjamin<\/td>The Slice Rank Polynomial Method<\/a><\/td><\/tr>
Lake Trujillo<\/a><\/th>Vin de Silva<\/td>Dagan Karp<\/td>A Coherent Proof of Mac Lane’s Coherence Theorem<\/a><\/td><\/tr>
Miguel Velez<\/a><\/th>Andrew Bernoff<\/td>Jasper Weinburd<\/td>Modelling the Transition from Homogeneous to Columnar States in Locust Hopper Bands<\/a><\/td><\/tr>
Young Zhang<\/th>Dagan Karp<\/td>Jordan Kostiuk<\/td>Generalize the Chip-Firing Process of Graphs for Adinkras<\/td><\/tr><\/tbody><\/table>
2020\u20132021<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Savana Ammons<\/a><\/th>Francis Su<\/td>Dagan Karp<\/td>A Discrete Analogue for the Poincar\u00e9-Hopf Theorem<\/a><\/td><\/tr>
Havi Ellers<\/a><\/th>Michael Orrison<\/td>Hadi Salmasian<\/td>On the Mysteries of Interpolation Jack Polynomials<\/a><\/td><\/tr>
Lily Friedberg<\/a><\/th>Dagan Karp<\/td>Darryl Yong<\/td>Reflections on Critical Math Education in the College Classroom: Critical Pedagogy and Modular Approaches<\/a><\/td><\/tr>
Hanna Hoffman<\/a><\/th>Dagan Karp<\/td>Hannah Markwig<\/td>Pascal’s Mystic Hexagon in Tropical Geometry<\/a><\/td><\/tr>
Forest Kobayashi<\/a><\/th>Francis Su<\/td>Sam Nelson<\/td>Where the Wild Knots Are<\/a><\/td><\/tr>
Hannah Larson<\/a><\/th>Andrew Bernoff<\/td>Jasper Weinburd<\/td>Agent-Based Modeling of Locust Foraging and Social Behavior<\/a><\/td><\/tr>
Cassidy Le<\/a><\/th>Lisette de Pillis<\/td>Blerta Shtylla<\/td>Use of Kalman Filtering in State and Parameter Estimation of Diabetes Models<\/a><\/td><\/tr>
Nick Richardson<\/a><\/th>Nicholas Pippenger<\/td>Michael Orrison<\/td>Composing Probabilistic Graphical Models with Adaptive Basis Methods<\/a><\/td><\/tr>
Marcelo Almora Rios<\/a><\/th>Alfonso Castro<\/td>Jon Jacobsen<\/td>Radial Singular Solutions to Semilinear Partial Differential Equations<\/a><\/td><\/tr>
Mengyi Shan<\/a><\/th>Weiqing Gu<\/td>Nicholas Pippenger<\/td>Geometric Unified Method in 3D Object Classification<\/a><\/td><\/tr>
Ricky Shapley<\/a><\/th>Arthur Benjamin<\/td>Curtis Bennett<\/td>An Exploration of Combinatorial Interpretations for Fibonomial Coefficients<\/a><\/td><\/tr><\/tbody><\/table>
2019\u20132020<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Quentin Barth<\/a><\/th>Andrew Bernoff<\/td>Theresa Lynn<\/td>Stability Theory of Lattice Configurations of Swarms<\/a><\/td><\/tr>
Karina Cho<\/a><\/th>Sam Nelson<\/td>Francis Su<\/td>Enhancing the Quandle Coloring Invariant for Knots and Links<\/a><\/td><\/tr>
Adam Dhillon<\/a><\/th>Nicholas Pippenger<\/td>Michael Orrison<\/td>An Analog Computing Analogue for Computational Complexity<\/a><\/td><\/tr>
Conner DiPaolo<\/a><\/th>Weiqing Gu<\/td>Nicholas Pippenger<\/td>Randomized Numerical Linear Algebra and its Applications to Machine Learning<\/a><\/td><\/tr>
Madelyn Gaumer<\/a><\/th>Michael Orrison<\/td>Neil Rhodes<\/td>Using Neural Networks to Classify Probability Distributions on Circular Data<\/a><\/td><\/tr>
Jenny Lee<\/a><\/th>Dagan Karp<\/td>Luis A. Levya<\/td>On Self Regulation in College-Level Mathematics Classes<\/a><\/td><\/tr>
Ethan Sargent<\/a><\/th>Alfonso Castro<\/td>ShuZhi Song<\/td>Radial Solutions to Semipositone Dirichlet Problems<\/a><\/td><\/tr>
Gianna Wu<\/a><\/th>Lisette de Pillis<\/td>Blerta Shtylla<\/td>A Simplified Single Compartment Model for Type 1 Diabetes<\/a><\/td><\/tr><\/tbody><\/table>
2018\u20132019<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Project Title<\/th><\/tr><\/thead>
Lucius E.J. Bynum<\/a><\/th>Susan E. Martonosi<\/td>Michael E. Orrison<\/td>From Partially Ranked Data to Fully Ranked Decisions: Prescriptive Analytics for Professional Basketball Data<\/a><\/td><\/tr>
Marissa A. Gee<\/th>Lisette de Pillis<\/td>Rachel Levy<\/td>Modeling the Onset and Treatment of Type-1 Diabetes in the Human Pancreas<\/td><\/tr>
Alex Goldstein<\/th>Michael E. Orrison<\/td>Chris Clark (Engineering)<\/td>Game Theory and the Symmetric Group<\/td><\/tr>
Christopher R. Hoyt<\/a><\/th>Dagan Karp<\/td>Mohamed Omar<\/td>On The Landscape Of Random Tropical Curves<\/a><\/td><\/tr>
Hamzah I Khan<\/a><\/th>Susan E. Martonosi<\/td>Jim Boerkoel (CS)<\/td>A Metric for Measuring the Quantity of Synchronization Tasks in Simple Temporal Networks<\/a><\/td><\/tr>
Bryce McLaughlin<\/a><\/th>Mohamed Omar<\/td>Dagan Karp<\/td>Applying the Polynomial Method to Problem in Discrete Geometry<\/a><\/td><\/tr>
Joshua A. Miller<\/a><\/th>Nicholas J. Pippenger<\/td>Susan E. Martonosi<\/td>Sequential Probing with a Random Start<\/a><\/td><\/tr>
Matthew Simon<\/th>Weiqing Gu<\/td>Mohamed Omar<\/td>TBA<\/td><\/tr>
Xinrui Yan<\/th>Weiqing Gu<\/td>Vatche Sahakian (Physics)<\/td>Mathematics of Emergent Gravity Based on Quantum Entanglement<\/td><\/tr><\/tbody><\/table>
2017\u20132018<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Aaron R. Bagheri<\/a><\/th>Dagan Karp<\/td>Mendez-Diez, Stefan (Bard College)<\/td>Classifying the Jacobian Groups of Adinkras<\/a><\/td><\/tr>
Dylan Baker<\/a><\/th>Talithia Williams<\/td>Tanya Srebotnjak<\/td>The Document Similarity Network: A Novel Technique for Visualizing Relationships in Text Corpora<\/a><\/td><\/tr>
Kathryn Dover<\/a><\/th>Weiqing Gu<\/td>Dagan Karp<\/td>Pattern Recognition in Stock Data<\/a><\/td><\/tr>
Magda Hlavacek<\/a><\/th>Dagan Karp<\/td>Meldoy Chan (Brown University)<\/td>Random Tropical Curves<\/a><\/td><\/tr>
Nathaniel Leslie<\/a><\/th>Theresa W. Lynn (physics)<\/td>Francis E. Su<\/td>Maximal LELM Distinguishability of Qubit and Qutrit Bell States Using Projective and Non-Projective Measurements<\/a><\/td><\/tr>
Calvin Leung<\/a><\/th>Jason Gallicchio (physics)<\/td>Andrew J. Bernoff<\/td>Quantum Foundations with Astronomical Photons<\/a><\/td><\/tr>
Shiyue Li<\/a><\/th>Dagan Karp<\/td>Dhruv Ranganathan (Yale University)<\/td>Tropical Derivation of Cohomology Ring in Heavy\/Light Hassett Spaces<\/a><\/td><\/tr>
Caitlin Lienkaemper<\/a><\/th>Mohamed Omar<\/td>Dagan Karp<\/td>Toric Ideals, Polytopes, and Convex Neural Codes<\/a><\/td><\/tr>
Sam Kim Miller<\/a><\/th>Mohamed Omar<\/td>Nicholas J. Pippenger<\/td>Combinatorial Polynomial Hirsch Conjecture<\/a><\/td><\/tr>
Connie Okasaki<\/a><\/th>Jon Jacobsen<\/td>Julie Blackwood (Williams College)<\/td>Slowing the Evolution and Outbreak of Antibiotic Resistance<\/a><\/td><\/tr>
Micah G. Pedrick<\/a><\/th>Michael E. Orrison<\/td>Nicholas J. Pippenger<\/td>Complexity of Linear Summary Statistics<\/a><\/td><\/tr>
Dan Schmidt<\/a><\/th>Andrew J. Bernoff<\/td>Alan E. Lindsay (University of Notre Dame)<\/td>Kinetic Monte Carlo Methods for Computing First Capture Time Distributions in Models of Diffusive Absorption<\/a><\/td><\/tr>
Ian R.W. Schweickart<\/a><\/th>Weiqing Gu<\/td>Amanda R. Ganguly (Claremont McKenna College)<\/td>Investigating Post-Earnings-Announcement Drift Using Principal Component Analysis and Association Rule Mining<\/a><\/td><\/tr>
Dina Sinclair<\/a><\/th>Susan E. Martonosi<\/td>Banafsheh Behzad (CSU\u2014Long Beach)<\/td>Incorporating the Centers for Disease Control and Prevention into Vaccine Pricing Models<\/a><\/td><\/tr>
Natchanon Suaysom<\/a><\/th>Arthur T. Benjamin<\/td>Puck Rombach (UCLA)<\/td>Iterative Matrix Factorization Method for Social Media Data Location Prediction<\/a><\/td><\/tr>
Z\u00f6e Tucker<\/a><\/th>Michael E. Orrison<\/td>Bill Alves (HSA)<\/td>Emergence and Complexity in Music<\/a><\/td><\/tr>
Kira A. Wyld<\/a><\/th>Francis Edward Su<\/td>Kenji Kozai<\/td>Sudoku Variations on the Torus<\/a><\/td><\/tr>
Bo Zhang<\/a><\/th>Weiqing Gu<\/td>Nicholas J. Pippenger<\/td>Machine Learning on Statistical Manifold<\/a><\/td><\/tr>
Jialun Zhang<\/a><\/th>Andrew J. Bernoff<\/td>Chad Topaz (Macalester College)<\/td>Dynamics and Clustering in Locust Hopper Bands<\/a><\/td><\/tr><\/tbody><\/table>
2016\u20132017<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Kennedy Agwamba<\/a><\/th>Jon Jacobsen<\/td>Rachel Levy<\/td>An Interactive Tool for the Computational Exploration of Integrodifference Population Models<\/a><\/td><\/tr>
Robert Bennett<\/a><\/th>Arthur T. Benjamin<\/td>Nicholas J. Pippenger<\/td>Fibonomial Tilings and Other Up-Down Tilings<\/a><\/td><\/tr>
Casey Chu<\/a><\/th>Weiqing Gu<\/td>Dagan Karp<\/td>The Geometry of Data: Distance on Data Manifolds<\/a><\/td><\/tr>
Matthew Dannenberg<\/a><\/th>Weiqing Gu<\/td>Satyan L. Devadoss (Williams College)<\/td>Pattern Recognition in High-Dimensional Data<\/a><\/td><\/tr>
Alec Dunton<\/a><\/th>Andrew J. Bernoff<\/td>Chad M. Topaz (Macalester College)<\/td>Topological Data Analysis for Systems of Coupled Oscillators<\/a><\/td><\/tr>
Mitchell Horning (Fall, 2016)<\/th>Nicholas J. Pippenger<\/td>Ran Libeskind-Hadas (CS)<\/td>The MINCUT Linear Arrangement Problem<\/td><\/tr>
Margaux Hujoel<\/a><\/th>Lisette G. de Pillis<\/td>Matina Donaldson-Matasci (Biology)<\/td>Assessment of Treatment and Screening Procedures for Chlamydia trachomatis Infections in a College Setting (held until 2017)<\/td><\/tr>
R. Amzi Jeffs<\/a><\/th>Mohamed Omar<\/td>Nora Youngs<\/td>Convexity of Neural Codes<\/a><\/td><\/tr>
Ryan Jones<\/a><\/th>Andrew J. Bernoff<\/td>Chad M. Topaz (Macalester College)<\/td>Hopper Bands: Locust Aggregation<\/a><\/td><\/tr>
Cheng Wai Koo<\/a><\/th>Mohamed Omar<\/td>Nicholas J. Pippenger<\/td>A Bound on the Number of Spanning Trees in Bipartite Graphs<\/a><\/td><\/tr>
Bo Li<\/a><\/th>Alfonso Castro<\/td>Ivan Ventura<\/td>Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling<\/a><\/td><\/tr>
Matthew Lin<\/a><\/th>Dagan Karp<\/td>Satyan L. Devadoss (Williams College)<\/td>Graph Cohomology<\/a><\/td><\/tr>
Joana Perdomo<\/a><\/th>Lisette G. de Pillis<\/td>Darryl H. Yong<\/td>Mathematical Modeling of Blood Coagulation (held until 2017)<\/a><\/td><\/tr>
John Phillpot<\/a><\/th>Ran Libeskind-Hadas (CS)<\/td>Nicholas J. Pippenger<\/td>Line-of-Sight Pursuit and Evasion Games on Polytopes in $\\mathbb{R}^n$<\/a><\/td><\/tr>
Weerapat Pittayakanchit<\/a><\/th>Andrew J. Bernoff<\/td>Chad M. Topaz (Macalester College)<\/td>The Global Stability of the Solution to the Morse Potential in a Catastrophic Regime<\/a><\/td><\/tr>
Victor Shang<\/a><\/th>Theresa W. Lynn (Physics)<\/td>Andrew J. Bernoff<\/td>Computational Progress towards Maximum Distinguishability of Bell States by Linear Evolution and Local Measurement<\/a><\/td><\/tr>
Patrick Tierney<\/a><\/th>Satyan L. Devadoss (Williams College)<\/td>Dagan Karp<\/td>Realizing the 2-Associahedron<\/a><\/td><\/tr>
Madeleine Weinstein<\/a><\/th>Dagan Karp<\/td>Charles Doran (University of Alberta)<\/td>Adinkras and Arithmetical Graphs<\/a><\/td><\/tr>
Matthew Wilber<\/a><\/th>Eliot C. Bush (Biology)<\/td>Darryl H. Yong<\/td>Building a History of Horizontal Gene Transfer in E. Coli<\/a><\/td><\/tr>
Joyce Yang<\/a><\/th>Nicholas J. Pippenger<\/td>Arthur T. Benjamin<\/td>Interval Graphs<\/a><\/td><\/tr><\/tbody><\/table>
2015\u20132016<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Andrew Brockmann<\/a><\/th>Talithia Williams<\/td>Arthur T. Benjamin<\/td>A Plausibly Deniable Encryption Scheme for Personal Data Storage<\/a><\/td><\/tr>
Elizabeth Kelley<\/th>Su<\/td>TBA<\/td>(not available)<\/td><\/tr>
Matthew Lam<\/a><\/th>Nicholas J. Pippenger<\/td>Michael Orrison<\/td>A Combinatorial Exploration of Elliptic Curves<\/a><\/td><\/tr>
Jazmin Ortiz<\/a><\/th>Mohamed Omar<\/td>Michael Orrison<\/td>Chromatic Polynomials, Orbital Chromatic Polynomials, and Their Roots<\/a><\/td><\/tr>
Eric Stucky<\/a><\/th>Arthur T. Benjamin<\/td>Maria Klawe<\/td>An Exposition of Kastalyan’s Solution of the Dimer Model<\/a><\/td><\/tr>
Ksenia V Zakirova<\/a><\/th>Andrew J. Bernoff<\/td>Robert Thompson<\/td>Perturbation Dynamics on Moving Chains<\/a><\/td><\/tr><\/tbody><\/table>
2014\u20132015<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Allison F. Arnold-Roksandich<\/a><\/th>Christopher Towse<\/td>Michael E. Orrison<\/td>There and Back Again: Elliptic Curves, Modular Forms, and L-Functions<\/a><\/td><\/tr>
Sorathan Chaturapruek<\/a><\/th>Weiqing Gu<\/td>Zachary Dodds<\/td>A Mathematical Framework for Unmanned Aerial Vehicle Obstacle Avoidance<\/a><\/td><\/tr>
Emily M. Fischer<\/a><\/th>Alfonso Castro<\/td>Weiqing Gu<\/td>Infinitely Many Rotationally Symmetric Solutions to a Class of Semilinear Laplace-Beltrami Equations on the Unit Sphere<\/a><\/td><\/tr>
Samuel C. Gutekunst<\/a><\/th>Susan E. Martonosi<\/td>Mohamed Omar<\/td>Characterizing Forced Communication in Networks<\/a><\/td><\/tr>
Shreyas Kumar<\/a><\/th>Rachel Levy<\/td>Darryl Yong<\/td>Simulations of Surfactant Driven Thin Film Flow<\/a><\/td><\/tr>
David Alan Lingenbrink, Jr.<\/a><\/th>Michael E. Orrison<\/td>Mohamed Omar<\/td>A New Subgroup Chain for the Finite Affine Group<\/a><\/td><\/tr>
Matthew McDermott<\/a><\/th>Michael E. Orrison<\/td>Mohamed Omar<\/td>Fast Algorithms for Analyzing Partially Ranked Data<\/a><\/td><\/tr>
Peter Megson<\/a><\/th>Rachel Levy<\/td>Jon Jacobsen<\/td>Experiments on Surfactants and Thin Fluid Films<\/a><\/td><\/tr>
Alexa Serrato<\/a><\/th>Nicholas J. Pippenger<\/td>Mohamed Omar<\/td>Reed’s Conjecture and Cycle-Power Graphs<\/a><\/td><\/tr>
Tongjia Shi<\/a><\/th>Nicholas Pippenger<\/td>Michael E. Orrison<\/td>Cycle Lengths of $\\theta$-Biased Random Permutations<\/a><\/td><\/tr>
Carling Sugarman<\/a><\/th>Jon Jacobsen<\/td>Michael E. Orrison<\/td>Using Topology to Explore Mathematics Education Reform<\/a><\/td><\/tr>
Jeremy Usatine<\/a><\/th>Dagan Karp<\/td>Melody Chan<\/td>Arithmetical Graphs, Riemann-Roch Structure for Lattices, and the Frobenius Number Problem<\/a><\/td><\/tr><\/tbody><\/table>
2013\u20132014<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Connor Ahlbach<\/a><\/th>Francis Edward Su<\/td>Michael E. Orrison<\/td>A Discrete Approach to the Poincar\ufffd-Miranda Theorem<\/a><\/td><\/tr>
Olivia Beckwith<\/a><\/th>Dagan Karp<\/td>Dusty Ross<\/td>On Toric Symmetry of $\\mathbb{P}^1 \\times \\mathbb{P}^2$<\/a><\/td><\/tr>
Rosalie J. Carlson<\/a><\/th>Francis Edward Su<\/td>Michael E. Orrison<\/td>Voter Compatibility In Interval Societies<\/a><\/td><\/tr>
Michael Ernest<\/a><\/th>Nicholas Pippenger<\/td>Francis Edward Su<\/td>Extortion and Evolution in the Iterated Prisoner’s Dilemma<\/a><\/td><\/tr>
Peter Fedak<\/th>Weiqing Gu<\/td>TBA<\/td><\/td><\/tr>
J. Zachary Gaslowitz<\/a><\/th>Dagan Karp<\/td>Dustin Cartwright<\/td>Chip Firing Games and Riemann-Roch Properties for Directed Graphs<\/a><\/td><\/tr>
Taylor McAdam<\/a><\/th>Jon Jacobsen<\/td>Alfonso Castro<\/td>Analysis of Time-Dependent Integrodifference Population Models<\/a><\/td><\/tr>
Kevin O’Neill<\/a><\/th>Dagan Karp<\/td>Angelica Cueto<\/td>Lines in Tropical Quadrics<\/a><\/td><\/tr>
John Peebles<\/a><\/th>Nicholas Pippenger<\/td>Michael E. Orrison<\/td>Hypergraph Capacity with Applications to Matrix Multiplication<\/a><\/td><\/tr>
Nathan Pinsky<\/a><\/th>Weiqing Gu<\/td>Darryl H. Yong<\/td>Mathematical Knowledge for Teaching and Visualizing Differential Geometry<\/a><\/td><\/tr>
Elizabeth Sarapata<\/a><\/th>Lisette G. de Pillis<\/td>Ami Radunskaya<\/td>A Comparison and Catalog of Intrinsic Tumor Growth Models<\/a><\/td><\/tr>
Ryan Takahashi<\/a><\/th>Michael E. Orrison<\/td>Nicholas Pippenger<\/td>Structured Matrices and the Algebra of Displacement Operators<\/a><\/td><\/tr><\/tbody><\/table>
2012\u20132013<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Craig Burkhart<\/a><\/th>Francis Edward Su<\/td>Ann N. Trenk (Wellesley)<\/td>Approval Voting Theory with Multiple Levels of Approval<\/a><\/td><\/tr>
Trevor Caldwell<\/a><\/th>Alfonso Castro<\/td>Jon T. Jacobsen<\/td>Nonlinear Wave Equations and Solitary Wave Solutions in Mathematical Physics<\/a><\/td><\/tr>
John Choi<\/a><\/th>Nicholas Pippenger<\/td>Arthur T. Benjamin<\/td>Counting Vertices in Isohedral Tilings<\/a><\/td><\/tr>
Harris Enniss<\/a><\/th>Alfonso Castro<\/td>Jon T. Jacobsen<\/td>A Refined Saddle Point Theorem and Applications<\/a><\/td><\/tr>
Patrick Eschenfeldt<\/a><\/th>Francis Edward Su<\/td>Nicholas Pippenger<\/td>Approval Voting in Box Societies<\/a><\/td><\/tr>
August Guang<\/a><\/th>Francis Edward Su<\/td>Stephen E. Adolph<\/td>Switching Between Cooperation and Competition in Social Selection<\/a><\/td><\/tr>
Katie Hawley<\/th>Nicholas Pippenger<\/td>Arthur T. Benjamin<\/td>A Survey on Random Topological Surfaces (not available)<\/td><\/tr>
Curtis Heberle<\/a><\/th>Arthur T. Benjamin<\/td>Kimberly Kindred<\/td>A Combinatorial Approach to $r$-Fibonacci Numbers<\/a><\/td><\/tr>
Jennifer Iglesias<\/a><\/th>Ran Libeskind-Hadas (CS)<\/td>Nicholas Pippenger<\/td>Searching Stars for a Moving Hider<\/a><\/td><\/tr>
Kym Louie<\/a><\/th>Arthur T. Benjamin, Art Horowitz (Pomona)<\/td>Tom Leabhart (Pomona)<\/td>Flatterland: The Play<\/a><\/td><\/tr>
Palmer Mebane<\/a><\/th>Michael Orrison<\/td>Nicholas Pippenger<\/td>Uniquely Solvable Puzzles and Fast Matrix Multiplication<\/a><\/td><\/tr>
Jack Newhouse<\/a><\/th>Matthew Davis<\/td>Michael Orrison<\/td>Explorations of the Aldous Order on Representations of the Symmetric Group<\/a><\/td><\/tr>
Alice Paul<\/a><\/th>Susan E. Martonosi<\/td>Nicholas Pippenger<\/td>Detecting Covert Members of Terrorist Networks<\/a><\/td><\/tr>
Aaron Pribadi<\/a><\/th>Michael Orrison<\/td>Weiqing Gu<\/td>Algebraic Methods for Log-Linear Models<\/a><\/td><\/tr>
Dhruv Ranganathan<\/a><\/th>Dagan Karp<\/td>Davesh Maulik (MIT)<\/td>Gromov-Witten Theory of Blowups of Toric Threefolds<\/a><\/td><\/tr>
Louis Ryan<\/a><\/th>Andrew J. Bernoff<\/td>Chad M. Topaz<\/td>Analysis of Swarm Behavior in Two Dimensions<\/a><\/td><\/tr>
Maia Valcarce<\/a><\/th>Rachel Levy<\/td>Darryl Yong<\/td>Russian Mathematical Pedagogy in Reasoning Mind<\/a><\/td><\/tr><\/tbody><\/table>
2011\u20132012<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Kate M. Burgers<\/a><\/th>Jon Jacobsen<\/td>Rachel Levy<\/td>Finding the Beat in Music: Using Adaptive Oscillators<\/a><\/td><\/tr>
Georgi Dinolov<\/a><\/th>Rachel Levy<\/td>Dagan Karp<\/td>Swarm Control Through Symmetry and Distribution Characterization<\/a><\/td><\/tr>
Ann Johnston<\/a><\/th>Michael Orrison<\/td>Matt Davis<\/td>Markov Bases for Noncommutative Harmonic Analysis of Partially Ranked Data<\/a><\/td><\/tr>
Max B. Kutler<\/a><\/th>Dagan Karp<\/td>Eric Katz (UT-Austin)<\/td>Group Actions and Divisors on Tropical Curves<\/a><\/td><\/tr>
Sarah Loeb<\/a><\/th>Kimberly Kindred<\/td>Susan Martonosi<\/td>Extending List Colorings of Planar Graphs<\/a><\/td><\/tr>
Kyle Luh<\/a><\/th>Nicholas Pippenger<\/td>Francis Su<\/td>Martingale Couplings and Bounds on Tails of Probability Distributions<\/a><\/td><\/tr>
Chandler May<\/a><\/th>Susan Martonosi<\/td>Kimberly Kindred<\/td>Verification of Solutions to the Sensor Location Problem<\/a><\/td><\/tr>
Allison M. Park<\/a><\/th>Darryl Yong<\/td>Stacy Brown (Pitzer)<\/td>Comparing the Cognitive Demand of Traditional and Reform Algebra 1 Textbooks<\/a><\/td><\/tr>
Austin Quan<\/a><\/th>John Milton (Scripps)<\/td>Darryl Yong<\/td>Noise, Delays, and Resonance in a Neural Network<\/a><\/td><\/tr>
Elizabeth (Lizard) Reiland<\/a><\/th>Arthur Benjamin<\/td>Kimberly Kindred<\/td>Combinatorial Interpretations of Fibonomial Identities<\/a><\/td><\/tr>
Andrew S. Ronan<\/a><\/th>Andrew Bernoff<\/td>Chad M. Topaz (Macalester College)<\/td>Analytic and Numerical Studies of a Simple Model of Attractive-Repulsive Swarms<\/a><\/td><\/tr>
Jacob N. Scott<\/a><\/th>Francis Su<\/td>Nicholas Pippenger<\/td>Approval Ratios of Two-Intersecting Double-Interval Societies (held until 2012)<\/td><\/tr>
Dmitri Skjorshammer<\/a><\/th>Ursula Whitcher<\/td>Dagan Karp<\/td>Tops in Higher Dimensions (held until 2012)<\/td><\/tr>
Donald Lee Wiyninger III<\/a><\/th>Nicholas Pippenger<\/td>Michael Orrison<\/td>Continued Fractions: A New Form<\/a><\/td><\/tr>
Jeffrey Wong<\/a><\/th>Rachel Levy<\/td>Andrew Bernoff<\/td>Simulations of Surfactant Spreading<\/a><\/td><\/tr><\/tbody><\/table>
2010\u20132011<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Richard Strong Bowen<\/a><\/th>Nicholas Pippenger<\/td>Ran Liebeskind-Hadas (CS)<\/td>Minimal Circuits for Very Incompletely Specified Boolean Functions<\/a><\/td><\/tr>
Bo Chen<\/a><\/th>Arthur Benjamin<\/td>Kimberly Tucker<\/td>Combinatorial Proofs Using Complex Weights<\/a><\/td><\/tr>
Rachel Cranfill (Fall, 2009)<\/th>Michael Orrison<\/td>Keri Kornelson (U. Oklahoma)<\/td>Group Frames and Rank Data<\/td><\/tr>
Alyssa W. Dray<\/a><\/th>Talithia Williams<\/td>Johanna Hardin (Pomona), Susan Lewallen (Kilimanjaro Centre for Community Ophthalmology)<\/td>A Multistage Incidence Estimation Model for Diseases with Differential Mortality<\/a><\/td><\/tr>
Jacob Feldman<\/a><\/th>Susan Martonosi<\/td>John M. Bossert<\/td>Optimizing Restaurant Reservation Scheduling<\/a><\/td><\/tr>
Ivan Hernandez<\/a><\/th>Rachel Levy<\/td>Stacy Brown (Pitzer)<\/td>Algebraic Reasoning in Elementary School Students<\/a><\/td><\/tr>
Kwang B. Ketcham<\/a><\/th>Dagan Karp<\/td>Michael Orrison<\/td>Group Frames and Partially Ranked Data<\/a><\/td><\/tr>
Stephen C. Lee<\/a><\/th>Michael Orrison<\/td>Anna Bargagliotti (U. Memphis)<\/td>Understanding Voting for Committees Using Wreath Products<\/a><\/td><\/tr>
Ross C. Merriam<\/a><\/th>Nicholas Pippenger<\/td>Christopher Towse (Scripps)<\/td>Arithmetic on Specializable Continued Fractions<\/a><\/td><\/tr>
Yaniv J. Ovadia<\/a><\/th>Susan Martonosi<\/td>Nicholas Pippenger<\/td>Computational Feasibility of Increasing the Visibility of Vertices in Covert Networks<\/a><\/td><\/tr>
Hannah P. Savage<\/a><\/th>Lisette de Pillis<\/td>Ami Radunskaya (Pomona)<\/td>A Nonlinear ODE Model of Tumor Growth and Effect of Immunotherapy and Chemotherapy Treatment in Colorectal Cancer<\/a><\/td><\/tr><\/tbody><\/table>
2009\u20132010<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Nadia Abuelezam<\/a><\/th>Lisette de Pillis<\/td>Karl Haushalter<\/td>Mathematical AIDS Epidemic Model: Preferential Anti-Retroviral Therapy Distribution in Resource Constrained Countries<\/a><\/td><\/tr>
Natalie Durgin<\/a><\/th>Francis Su<\/td>David Perkinson (Reed College)<\/td>Abelian Sandpile Model on Symmetric Graphs<\/a><\/td><\/tr>
Sarah Fletcher<\/a><\/th>Francis Su<\/td>Kimberly Tucker<\/td>Exploring Agreeability in Tree Societies<\/a><\/td><\/tr>
Ben Fogelson<\/a><\/th>Lisette de Pillis<\/td>Rachel Levy<\/td>Mathematical Model of the Chronic Lymphocytic Leukemia Microenvironment<\/a><\/td><\/tr>
Andrew Hunter<\/a><\/th>Nicholas Pippenger<\/td>Ran Liebeskind-Hadas<\/td>Locality and Complexity in Path Search<\/a><\/td><\/tr>
Hendrik Orem<\/a><\/th>Michael Orrison<\/td>Nicholas Pippenger<\/td>Fast Matrix Multiplication via Group Actions<\/a><\/td><\/tr>
Ben Preskill<\/a><\/th>Alfonso Castro<\/td>Adolfo Rumbos (Pomona College)<\/td>Existence of Continuous Solutions to a Semilinear Wave Equation<\/a><\/td><\/tr>
Ted Spaide<\/a><\/th>Michael Orrison<\/td>Nicholas Pippenger<\/td>Branching Diagrams for Group Inclusions Induced by Field Inclusions<\/a><\/td><\/tr><\/tbody><\/table>
2008\u20132009<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Kevin Fleming<\/a><\/th>Nicholas Pippenger<\/td>Francis Edward Su<\/td>Boundary Cycles in Random Triangulated Surfaces<\/a><\/td><\/tr>
Sara Gussin<\/a><\/th>Jon T. Jacobsen<\/td>Darryl Yong<\/td>Wavelets and Wavelet Sets<\/a><\/td><\/tr>
Kenji Kozai<\/a><\/th>David Bachman<\/td>Francis Edward Su<\/td>Intrinsic Linking and Knotting of Graphs<\/a><\/td><\/tr>
Andrew Leverentz<\/a><\/th>Andrew J. Bernoff<\/td>Chad M. Topaz<\/td>An Integrodifferential Equation Modeling 1-D Swarming Behavior<\/a><\/td><\/tr>
Greg Minton<\/a><\/th>Kimberly Tucker<\/td>Michael Orrison<\/td>Dot Product Representations of Graphs<\/a><\/td><\/tr>
David R. Morrison<\/a><\/th>Susan E. Martonosi<\/td>Kimberly Tucker<\/td>Characteristics of Optimal Solutions to the Sensor Location Problem<\/a><\/td><\/tr>
Sean Plott<\/a><\/th>Arthur T. Benjamin<\/td>Kimberly Tucker<\/td>Functions of the Binomial Coefficient<\/a><\/td><\/tr>
Brian Rice<\/a><\/th>Nicholas Pippenger<\/td>Christopher Towse<\/td>Rigid Divisibility Sequences Generated by Polynomial Iteration<\/a><\/td><\/tr>
Douglas Rizzolo<\/a><\/th>Jon T. Jacobsen<\/td>Francis Edward Su<\/td>Approximating Solutions to Differential Equations via Fixed Point Theory<\/a><\/td><\/tr>
Parousia Rockstroh<\/th>Francis Edward Su<\/td>Sanjai Gupta<\/td>Properties of the Golomb Topology and Fibonacci Cycles under Integer Moduli<\/td><\/tr>
Mutiara Sondjaja<\/a><\/th>Francis Edward Su<\/td>Jon T. Jacobsen<\/td>Sperner’s Lemma Implies Kakutani’s Fixed Point Theorem<\/a><\/td><\/tr>
George Tucker<\/a><\/th>Andrew J. Bernoff<\/td>Elizabeth Mann<\/td>Formation of Labyrinth Patterns in Langmuir Films<\/a><\/td><\/tr>
Jason Winerip<\/a><\/th>Nicholas Pippenger<\/td>Michael Orrison<\/td>Graph Linear Complexity<\/a><\/td><\/tr><\/tbody><\/table>
2007\u20132008<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Jonathan Azose<\/a><\/th>Arthur T. Benjamin<\/td>Kristina Garrett (St. Olaf)<\/td>Applications of the q-Binomial Coefficients to Counting Problems<\/a><\/td><\/tr>
Kazh D. Brito<\/a><\/th>Andrew J. Bernoff<\/td>Shenda Baker<\/td>Hole Closure in Langmuir Fluid Monolayers<\/a><\/td><\/tr>
Victor H. Camacho<\/a><\/th>Darryl Yong<\/td>Jon T. Jacobsen<\/td>Analyzing Traveling Waves in a Viscoelastic Generalization of Burgers’ Equation<\/a><\/td><\/tr>
Michael W. Hansen<\/a><\/th>Francis Edward Su<\/td>Michael Orrison<\/td>Algebra and Phylogenetic Trees<\/a><\/td><\/tr>
Andrea Heald<\/a><\/th>Ghassan Sarkis (Pomona)<\/td>Michael Orrison<\/td>Understanding Counterexamples to Lubin’s Conjecture<\/a><\/td><\/tr>
Nicholas Herman (Fall, 2006)<\/a><\/th>Darryl Yong<\/td>Maria Klawe<\/td>Investigating the Use of Brainfingers in Children with Cerebral Palsy for Spatial-Motor Education<\/a><\/td><\/tr>
Alexander Izsak<\/a><\/th>Nicholas Pippenger<\/td>Ran Libeskind-Hadas (CS)<\/td>Special Cases of Carry Propagation<\/a><\/td><\/tr>
Marie Jameson<\/a><\/th>Michael Orrison<\/td>Nathan Ryan (UCLA)<\/td>Voting Paradoxes Caused by Dropping Candidates in an Election<\/a><\/td><\/tr>
Masanori Koyama<\/a><\/th>Michael Orrison<\/td>Nathan Ryan (UCLA)<\/td>A Decimation-in-Frequency Fast-Fourier Transform for the Symmetric Group<\/a><\/td><\/tr>
James R. Moore<\/a><\/th>Jon T. Jacobsen<\/td>Lisette de Pillis<\/td>An ODE Model of Biochemotherapy Treatment for Cancer<\/a><\/td><\/tr>
Eugene Lee Quan<\/a><\/th>Susan E. Martonosi<\/td>Francis Edward Su<\/td>Effective Cost Allocation for Deterrence of Terrorists<\/a><\/td><\/tr>
Chee Meng Tan<\/a><\/th>Alfonso Castro<\/td>Jon T. Jacobsen<\/td>Infinitely Many Radial Solutions to a Superlinear Dirichlet Problem<\/a><\/td><\/tr>
Ivan Ventura<\/th>Alfonso Castro<\/td>Jon T. Jacobsen<\/td>Radial Solutions to an Elliptic Boundary Valued Problem<\/td><\/tr>
Daniel Walton<\/a><\/th>Arthur T. Benjamin<\/td>Sanjai Gupta<\/td>A Tiling Approach to Chebyshev Polynomials<\/a><\/td><\/tr><\/tbody><\/table>
2006\u20132007<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Robin Baur (Fall, 2005)<\/a><\/th>Andrew J. Bernoff<\/td>Jon T. Jacobsen<\/td>An Investigation of Rupture in Thin Fluid Films<\/a><\/td><\/tr>
Deborah Berg (Fall, 2005)<\/a><\/th>Francis Edward Su<\/td>Michael Orrison<\/td>Connections Between Voting Theory and Graph Theory<\/a><\/td><\/tr>
Tristan Brand<\/a><\/th>Michael Orrison<\/td>Ghassan Sarkis (Pomona)<\/td>A Fast Fourier Transform for the Symmetric Group<\/a><\/td><\/tr>
Alexander Eustis<\/a><\/th>Arthur T. Benjamin<\/td>Sanjai Gupta (Scripps)<\/td>The Negs and Regs of Continued Fractions<\/a><\/td><\/tr>
Julijana Gjorgjieva<\/a><\/th>Jon T. Jacobsen<\/td>Pablo Padilla (Universidad Nacional Aut\u00f3noma de M\u00e9xico)<\/td>Turing Pattern Dynamics for Spatiotemporal Models with Growth and Curvature<\/td><\/tr>
John Hearn<\/a><\/th>Ran Libeskind-Hadas<\/td>Michael Orrison<\/td>Kolmogorov Complexity of Graphs<\/a><\/td><\/tr>
Joesph Majkut<\/a><\/th>Andrew J. Bernoff<\/td>Chad M. Topaz (UCLA)<\/td>Foraging Fruit Flies: Lagrangian and Eulerian Descriptions of Insect Swarming<\/td><\/tr>
Kenneth Maples<\/a><\/th>Weiqing Gu<\/td>Anthony Bright (Eng.)<\/td>Optimal Control of a Building During an Earthquake<\/a><\/td><\/tr>
Jessica May<\/a><\/th>Jim Hoste<\/td>Francis Edward Su<\/td>Matrix Representation of Knot and Link Groups<\/a><\/td><\/tr>
Stephanie Moyerman (Math\/Physics)<\/th>Jim Eckert (Physics)<\/td>Andrew J. Bernoff<\/td>Magnetoresistance and Neutron Scattering of Ultrathin Films<\/td><\/tr>
Tracy Powell<\/a><\/th>Lesley Ward<\/td>Estelle Basor (CalPoly-SLO)<\/td>The Singular Values of the Exponientiated Adjacency Matrixes of Broom-Tree Graphs<\/a><\/td><\/tr>
Nikolas Rauh<\/a><\/th>Francis Edward Su<\/td>Michael Orrison<\/td>An Exploration in Subtropical Algebra<\/a><\/td><\/tr>
Tyler Seacrest<\/a><\/th>Weiqing Gu<\/td>Darryl Yong<\/td>Mathematical Models of Image Processing<\/a><\/td><\/tr>
Elan Segarra<\/a><\/th>Michael Raugh<\/td>Darryl Yong<\/td>An Exploration of Riemann’s Zeta Function and Its Application to the Theory of Prime Distribution<\/a><\/td><\/tr>
Simon Stump<\/a><\/th>Jon T. Jacobsen<\/td>Alfonso Castro<\/td>Succession, Invasion, & Coexistence: PDEs in Ecology<\/a><\/td><\/tr><\/tbody><\/table>
2005\u20132006<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Ruben Arenas<\/a><\/th>Weiqing Gu<\/td>Vatche Sahakian<\/td>Constructing a Matrix Representation of the Lie Group G2<\/a><\/td><\/tr>
Steven Avery (Math\/Physics)<\/a><\/th>Vatche Sahakian (Physics)<\/td>Weiqing Gu<\/td>Noncommutative Geometry<\/a><\/td><\/tr>
Tim Carnes<\/a><\/th>Ran Libeskind-Hadas (CS)<\/td>Francis Edward Su<\/td>Permutation Routing in the Hypercube and Grid Topologies<\/a><\/td><\/tr>
Zajj Daugherty<\/a><\/th>Michael Orrison<\/td>J.Alongi (Pomona College)<\/td>An Algebraic Approach to Voting Theory<\/a><\/td><\/tr>
Jeff Jauregui<\/a><\/th>Weiqing Gu<\/td>Jon T. Jacobsen<\/td>Solving for Volume-Minimizing Cycles in G2-Manifolds<\/a><\/td><\/tr>
Akemi Kashiwada<\/a><\/th>Francis Edward Su<\/td>Steve Adolph<\/td>Constructing Phylogenetic Trees from Subsplits<\/a><\/td><\/tr>
Owen Lewis<\/a><\/th>Jon T. Jacobsen<\/td>Lesley Ward<\/td>Generalized Julia Sets: An Extension of Cayley’s Problem<\/a><\/td><\/tr>
Eric Malm<\/a><\/th>Michael Orrison<\/td>Weiqing Gu<\/td>Decimation-in-Frequency Fast Fourier Transforms for the Symmetric Group<\/a><\/td><\/tr>
Jason Murcko<\/a><\/th>Henry Krieger<\/td>Lesley Ward<\/td>Cesaro Limits of Analytically Perturbed Stochastic Matrices<\/a><\/td><\/tr>
Gwen Spencer<\/a><\/th>Francis Edward Su<\/td>Alfonso Castro<\/td>Combinatorial Consequences of Relatives of the Lusternik-Schnirelmann-Borsuk Theorem<\/a><\/td><\/tr>
Kathe Todd-Brown (Fall, 2004)<\/th>Lisette de Pillis<\/td>Weiqing Gu<\/td>–<\/td><\/tr>
Carl Yerger<\/a><\/th>Francis Edward Su<\/td>Anant Godbole (Eastern Tennesee State University)<\/td>Extensions of Graph Pebbling<\/a><\/td><\/tr><\/tbody><\/table>
2004\u20132005<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Title<\/th><\/tr><\/thead>
Melissa Banister<\/a><\/th>Michael Orrison<\/td>Weiqing Gu<\/td>Separating Sets for Finite Groups<\/a><\/td><\/tr>
Ariel Barton (Fall 2003)<\/a><\/th>Lesley Ward<\/td>Henry Krieger<\/td>Convergence of Planar Domains and of Harmonic Measure Distribution Functions<\/a><\/td><\/tr>
William Chang<\/a><\/th>Michael Orrison<\/td>Weiqing Gu<\/td>Representation Theoretical Methods in Image Processing<\/a><\/td><\/tr>
Grant Clifford<\/a><\/th>Jon Jacobsen<\/td>Michael Orrison<\/td>Representation Theoretical Approach to n-Candidate Voting<\/a><\/td><\/tr>
Robert Gaebler<\/a><\/th>James Hoste (Pitzer)<\/td>Weiqing Gu<\/td>Alexander Polynomials of Tunnel Number One Knots<\/a><\/td><\/tr>
David Gaebler<\/a><\/th>Henry Krieger<\/td>Michael Raugh<\/td>Toeplitz Operators on Locally Compact Abelian Groups<\/a><\/td><\/tr>
Eric Harley<\/a><\/th>Lisette de Pillis<\/td>Jon Jacobsen<\/td>Modeling Cancer Cell Response to Immunotherapy<\/a><\/td><\/tr>
Matthew Holden (Pomona)<\/th>Weiqing Gu<\/td>Sandy Grabiner (Pomona)<\/td>Volume Minimizing Cycles in G2-manifolds<\/td><\/tr>
Jessica Nelson<\/a><\/th>Lisette de Pillis<\/td>Arthur Benjamin<\/td>Eigenvalue Etch-A-Sketch<\/a><\/td><\/tr><\/tbody><\/table>
2003\u20132004<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Title<\/th><\/tr><\/thead>
Dan Beutel<\/a><\/th>Andrew Bernoff<\/td>Thomas Donnelly (Physics)<\/td>Modelling Advection and Diffusion in Microchannels<\/a><\/td><\/tr>
Adam Bliss<\/a><\/th>Francis Su<\/td>Henry Krieger<\/td>Covering Numbers of the Cubes<\/a><\/td><\/tr>
Benjamin Bryant<\/a><\/th>Andrew Bernoff<\/td>Annette Hosoi<\/td>Modeling Moving Droplets: A Precursor Film Approach<\/a><\/td><\/tr>
Melissa Chase<\/a><\/th>Ran Libeskind-Hadas (CS)<\/td>Arthur Benjamin<\/td>Shortest Path Problems: Multiple Paths in a Stochastic Graph<\/a><\/td><\/tr>
David Clarke (Physics)<\/a><\/th>John Townsend (Physics)<\/td>Weiqing Gu<\/td>The Kapitza\u2013Dirac Effect: An Approach from QED<\/a><\/td><\/tr>
John Cloutier<\/a><\/th>Francis Su<\/td>Lesley Ward<\/td>A Combinatorial Analog of the Poincar\u00e9\u2013Birkhoff Fixed Point Theorem<\/a><\/td><\/tr>
Nate Eldredge<\/a><\/th>Michael Orrison<\/td>Shahriar Shahriari (Pomona)<\/td>An Eigenspace Approach to Isotropic Projections for Data on Binary Trees<\/a><\/td><\/tr>
Daniel Gianotti<\/a><\/th>Ali Nadim (CGU)<\/td>Andrew Bernoff<\/td>Fluid Drop Coalescence in a Hele-Shaw Cell<\/a><\/td><\/tr>
Stephen Haas<\/a><\/th>Lesley Ward<\/td>Henry Krieger<\/td>The Hausdorff Dimension of the Julia Set of Polynomials of the Form zd + c<\/a><\/td><\/tr>
Andrew Iannaccone<\/a><\/th>Byron Walden (Santa Clara)<\/td>Lesley Ward<\/td>The Conformal Center of a Triangle or Quadrilateral<\/a><\/td><\/tr>
Peter Lamb<\/a><\/th>Ali Nadim (CGU)<\/td>Andrew Bernoff<\/td>Ridge Coarsening in Evaporatively Driven Climbing Films<\/a><\/td><\/tr>
Matthew Macauley<\/a><\/th>Michael Orrison<\/td>James Hoste (Pitzer)<\/td>Braids and Juggling Patterns<\/a><\/td><\/tr>
Christopher Pries<\/a><\/th>Weiqing Gu<\/td>Jon Jacobsen<\/td>Searching for Supersymmetric Cycles: A Quest for Cayley Manifolds in the Calabi\u2013Yau 4-Torus<\/a><\/td><\/tr>
Ross Richardson<\/a><\/th>Weiqing Gu<\/td>Zach Dodds<\/td>Designing Smooth Motions of Rigid Objects: Computing Curves in Lie Groups<\/a><\/td><\/tr>
Jeremy Rouse<\/a><\/th>Arthur Benjamin<\/td>Naiomi Cameron<\/td>Combinatorial Proofs of Congruences<\/a><\/td><\/tr>
Micah Smukler<\/a><\/th>Weiqing Gu<\/td>Francis Su<\/td>Geometry and Topology of the Minkowski Product<\/a><\/td><\/tr>
Kira Sushkoff<\/a><\/th>Weiqing Gu<\/td>Michael Orrison<\/td>Minkowski Actions of Quaternion Sets and their Applications<\/a><\/td><\/tr>
David Uminsky<\/a><\/th>Michael Orrison<\/td>Francis Su<\/td>Generalized Spectral Analysis for Large Sets of Approval Voting Data<\/a><\/td><\/tr><\/tbody><\/table>
2002\u20132003<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Thesis<\/th><\/tr><\/thead>
Daniel Boylan<\/th>Lesley Ward, Melissa O’Neill (CS)<\/td>Henry Krieger<\/td>Dyadic and Triadic Doubling Measures<\/td><\/tr>
Mark Dean<\/th>Francis Su<\/td>Arthur Benjamin<\/td>Randomizing the 15 Puzzle<\/td><\/tr>
Bradley Forrest (Math\/Physics)<\/th>Andrew Bernoff<\/td>Thomas Donnelly (Physics)<\/td>Modeling Small Droplet Ejection from a Fluid Due to Capillary Waves<\/td><\/tr>
Michael Gratton<\/th>Andrew Bernoff<\/td>Anette Hosoi<\/td>Dispersion of a Passive Scalar in Helical Pipe Flow<\/td><\/tr>
Josh Greene<\/th>Arthur Benjamin<\/td>Gregory Levin<\/td>Various Results in Discrete Mathematics<\/td><\/tr>
Colin Little<\/th>Christopher Towse (Scripps)<\/td>Weiqing Gu<\/td>Complex Multiplication on Elliptic Curves<\/td><\/tr>
Cam McLeman<\/th>Christopher Towse (Scripps)<\/td>Michael Orrison<\/td>p-adic Dynamics and Formal Groups<\/td><\/tr>
Lara D. Mercurio<\/th>Weiqing Gu<\/td>Thomas Helliwell (Physics)<\/td>Quantum `Particles’ In a Classically Defined Spacetime<\/td><\/tr>
Elizabeth Norton<\/a><\/th>Michael Orrison<\/td>Shahriar Shahriari (Pomona)<\/td>Representations and the Symmetric Group<\/a><\/td><\/tr>
Timothy Prescott<\/th>Francis Su<\/td>Gregory Levin<\/td>Tucker’s Labeling in Branched Spheres and Connections to Topology<\/td><\/tr>
Michael P. Schubmehl<\/th>Thomas Donnelly (Physics)<\/td>Andrew Bernoff<\/td>Generation and Sizing of Sub-Micron Mists Math Thesis<\/td><\/tr>
Anne Short<\/th>Ghinta (Brown), Christopher Towse (Scripps)<\/td>Michael Orrison<\/td>Spectral Questions and Expander Graphs<\/td><\/tr>
Wesley Turner<\/th>Joshua Hodas (CS)<\/td>Weiqing Gu<\/td>A Logically Fully Abstract Concrete Interpretation of PCF+<\/td><\/tr>
Curtis Vinson<\/th>Thomas Helliwell (Physics)<\/td>Anette Hosoi<\/td>Quantum Particles and Singularities<\/td><\/tr>
Zach Walters<\/th>Thomas Helliwell (Physics)<\/td>Weiqing Gu<\/td>Quantum Singularities in Classical Spacetimes<\/td><\/tr><\/tbody><\/table>
2001\u20132002<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Title<\/th><\/tr><\/thead>
Kylie Bryant (Fall 2000)<\/a><\/th>Arthur Benjamin<\/td>Lisette de Pillis<\/td>Genetic Algorithms and the Travelling Salesman Problem<\/a><\/td><\/tr>
Christopher Hanusa (also French thesis)<\/a><\/th>Francis Su<\/td>Arthur Benjamin<\/td>Continued Fractions and their Interpretations<\/a><\/td><\/tr>
Teri Krebs (Math\/Biology)<\/th>Michael Moody<\/td>James Groome (Biology)<\/td>Excitable Media<\/td><\/tr>
Angela Kurle (Math\/Psychology)<\/th>Ronald Riggio (CMC Psychology)<\/td>Henry Krieger<\/td>Developing Scoring Methods for a Non-Additive Psychometric Measure of Social Skills\/Interpersonal Competence<\/td><\/tr>
Marco Latini<\/a><\/th>Andrew Bernoff<\/td>Mario Martelli (CMC)<\/td>Mixing in Curved Pipes<\/a><\/td><\/tr>
Karl Mahlburg<\/a><\/th>Rhett Bull (Pomona)<\/td>Francis Su<\/td>Structure Attacks in Cryptographic Protocols<\/a><\/td><\/tr>
Ari Nieh<\/a><\/th>Gregory Levin<\/td>Arthur Benjamin<\/td>Fractional Analogues in Graph Theory<\/a><\/td><\/tr>
Anand Patil (Physics)<\/a><\/th>Andrew Bernoff<\/td>Thomas Donnelly (Physics)<\/td>Computational Simulation of Fluid Dynamics in Thin Films<\/a><\/td><\/tr>
Jane Pratt<\/a><\/th>Lisette de Pillis<\/td>Leaf Turner, Los Alamos National Labs<\/td>Turbulence, Magnetics, and Closure Equations<\/a><\/td><\/tr>
Greg Preston<\/a><\/th>Arthur Benjamin<\/td>Michael Raugh<\/td>Combinatorial Explanations of Known Harmonic Identities<\/a><\/td><\/tr>
Mike Rust (Math\/Physics)<\/a><\/th>Ronald Cave (Chemistry)<\/td>Michael Moody<\/td>The Approximate Inclusion of Triple Excitations in EOM-type Quantum Chemical Methods<\/a><\/td><\/tr>
Paul SanGiorgio (Math\/Physics)<\/a><\/th>Thomas Donnelly (Physics)<\/td>Lisette de Pillis<\/td>Measuring Electron Gas Relaxation in Gold through Second Harmonic Generation<\/a><\/td><\/tr>
Tracy van Cort (Math\/Linguistics)<\/a><\/th>Elizabeth Sweedyk (Computer Science)<\/td>Karen Kossuth (Pomona Linguistics), Gregory Levin<\/td>Computational Evolutionary Linguistics<\/a><\/td><\/tr>
Ian Weiner<\/a><\/th>Weiqing Gu<\/td>Thomas Helliwell<\/td>Super-Symmetric Three-Cycles in String Theory<\/a><\/td><\/tr><\/tbody><\/table>
2000\u20132001<\/figcaption><\/figure>\n\n\n\n
Student<\/th>Advisor<\/th>Second Reader<\/th>Title<\/th><\/tr><\/thead>
Otto Cortez<\/a><\/th>Lesley Ward<\/td>Jorge Aarao (CMC)<\/td>Brownian Motion and Planar Regions: Constructing Boundaries from h-Functions<\/a><\/td><\/tr>
Ryan Haskett<\/a><\/th>Weiqing Gu<\/td>Thomas Helliwell (Physics)<\/td>Examples of Volume-Preserving Great Circle Flows of S3<\/a><\/td><\/tr>
Michael Lauzon<\/a><\/th>Francis Su<\/td>Lesley Ward<\/td>Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays<\/a><\/td><\/tr>
Philip Martin<\/a><\/th>Henry Krieger<\/td>Arthur Benjamin<\/td>Optimal Expected Values for Cribbage Hands<\/a><\/td><\/tr>
Joel Miller<\/a><\/th>Andrew Bernoff<\/td>Jorge Aarao (CMC)<\/td>Rates of Convergence to Self-Similar Solutions of Burgers’ Equation<\/a><\/td><\/tr>
Helen Monroe (Fall, 1999)<\/th>Arthur Benjamin<\/td>Lesley Ward<\/td>N-Person Coalitional Games: The Power of More Than One<\/td><\/tr>
Elisha Peterson<\/a><\/th>Francis Su<\/td>Arthur Benjamin<\/td>Combinatorial Proofs of Generalizations of Sperner’s Lemma<\/a><\/td><\/tr>
Yinan Song<\/a><\/th>Weiqing Gu<\/td>Adolfo Rumbos (Pomona)<\/td>Finite Invariance of Cayley Calibration Form<\/a><\/td><\/tr><\/tbody><\/table>
1999\u20132000<\/figcaption><\/figure>\n\n\n\n

1997\u20131999<\/h2>\n\n\n\n

Prior to 2000, theses were not archived in a consistent way. Listed below are the titles of some of the older senior theses submitted by students, along with the graduate schools each student went on to attend.<\/p>\n\n\n\n

Author<\/th>Year<\/th>Title<\/th>Graduate School<\/th><\/tr><\/thead>
Matthew Fluet<\/th>1999<\/td>Searching for Optimal Strategies in Knock ‘m Down<\/td>Cornell University<\/td><\/tr>
Dominic Mazzoni<\/th>1999<\/td>Three-Player Nim and More<\/td>Carnegie Mellon University<\/td><\/tr>
David Rudel<\/th>1999<\/td>Solving x2 + y2 = zk<\/td>Dartmouth University<\/td><\/tr>
Itai Seggev<\/th>1999<\/td>Quantum Singularity in Static Space-Times<\/td>University of Chicago<\/td><\/tr>
Marie Snipes<\/th>1999<\/td>Brownian Motion and the Shape of a Region’s Boundary: Generating Step Functions from Circle Domains<\/td>United States Air Force<\/td><\/tr>
Aaron Archer<\/th>1998<\/td>On the Upper Chromatic Numbers of the Reals<\/td>Cornell University<\/td><\/tr>
Dylan Helliwell<\/th>1998<\/td>Quaternion Determinants<\/td>University of Washington<\/td><\/tr>
Brian Johnson<\/th>1998<\/td>Improving Algorithms for the Quillen\u2013Suslin Theorem<\/td>University of Chicago<\/td><\/tr>
Solly Sieberts<\/th>1998<\/td>Accuracy of Approximate Confidence Bounds for Reliability of Series Systems<\/td>University of Washington<\/td><\/tr>
Michael Wood-Vasey<\/th>1998<\/td>Outflow Boundary Conditions for Numerical Simulations<\/td>UC Berkeley<\/td><\/tr>
Kan Yasuda<\/th>1998<\/td>The Square Sum Property of Magic Squares<\/td>University of Tokyo<\/td><\/tr>
Jeffrey Beck<\/th>1997<\/td>Internally Coated Cylindrical Wave Guides<\/td>Northwestern University<\/td><\/tr>
Jessica Sidman (Scripps)<\/th>1997<\/td>Splitting Numbers: Probabilistic Bounds and Computational Complexity<\/td>University of Michigan<\/td><\/tr><\/tbody><\/table>
1997\u20131999<\/figcaption><\/figure>\n","protected":false},"excerpt":{"rendered":"

Each year below contains a list of students who took Math 197 in that year and their corresponding thesis information. […]<\/p>\n","protected":false},"author":276,"featured_media":0,"parent":981,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1042","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1042","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/users\/276"}],"replies":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/comments?post=1042"}],"version-history":[{"count":19,"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1042\/revisions"}],"predecessor-version":[{"id":5834,"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/1042\/revisions\/5834"}],"up":[{"embeddable":true,"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/pages\/981"}],"wp:attachment":[{"href":"https:\/\/www.hmc.edu\/mathematics\/wp-json\/wp\/v2\/media?parent=1042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}