# Experts in Subject: Mathematics

## Benjamin, Arthur

Algorithms, Combinatorics, Game Theory, Mathemagician, Mathematics, Operations Research

Arthur Benjamin, PhD, Smallwood Family Professor of Mathematics, is recognized nationally for his ability to perform rapid mental calculations. He has lectured and performed for audiences around the world and is the only living American with a biography in The Great Mental Calculators, Past and Present. He has published several books on how to make […]

## Bernoff, Andrew

Applications of Dynamical Systems, Asymptotics, Diffusive Signaling, Energy Driven Pattern Formation, Fluid Mechanics, Mathematics, Mixing in Fluids, Self-similarity and Scaling Behavior, Swarming and Biological Aggregations

Andrew Bernoff, PhD, Kenneth A. and Diana G. Jonsson Professor of Mathematics, is a mathematician whose research applies dynamical systems methods to understanding physical and biological phenomena. He is passionate about undergraduate education, mentoring undergraduate research, and helping students find careers and pursue graduate studies in applied mathematics. Bernoff was an undergraduate at MIT, receiving […]

## Castro, Alfonso

Applied Mathematics, Differential Equations, Mathematics

Alfonso Castro, PhD, specializes in applied mathematics, differential equations and nonlinear functional analysis. Castro’s research areas include partial differential equations (including semilinear equations with discrete spectrum), variational methods, inverse-function theorems and water waves (solitons). Castro was awarded a 2012 Simons Foundation Collaboration Grant for Mathematicians to support his research project, “Solvability of semilinear equations with […]

## de Pillis, Lisette

Cancer Immunology, Computational Fluid Dynamics, Mathematical Biology, Mathematics, Numerical Linear Algebra, Parallel Computing

Lisette de Pillis, PhD, Norman F. Sprague Jr. Professor of Life Sciences, professor of mathematics and department chair, is a recognized expert in the field of cancer immunology modeling. Passionate about using mathematics to seek solutions to real-world problems, she works with other mathematicians, biologists and oncologists to search for new ways to treat cancer patients […]

## Gu, Weiqing

Big Data Analysis, Differential Geometry, Geometric Modeling and Design, Grassmann Manifolds, Industrial Mathematics, Mathematics, Optimal Big Data to Decision, Topology

Weiqing Gu, PhD, professor of mathematics and director of the Harvey Mudd College Mathematics Clinic, specializes in differential geometry and topology, with applications to Big Data analysis, computer-aided design and robotics. Her research on the geometry of a manifold (e.g., a sphere or a Grassmann manifold) and in computational geometry directly applies to Big data-to-decision, fundamental […]

## Karp, Dagan

Algebraic Geometry, Diversity, Math Education, Mathematics

Dagan Karp, PhD, focuses his research on algebraic geometry and Gromov-Witten theory. Gromov-Witten theory is an interdisciplinary subject, intersecting algebraic geometry, theoretical physics and string theory. His recent students Paul Riggins and Dhruv Ranganathan were among the first undergraduates to conduct research in this area; their work has been accepted for publication in Advances in […]

## Levy, Rachel

Applied Mathematics, Biological and Industrial Mathematics, K-12 Mathematics Education, Mathematical Modeling, Mathematics, Press Communications, Women in STEM

Rachel Levy, PhD, researches applications of mathematics to biological and industrial problems. Levy’s work in fluid dynamics has included the motion of surfactants on thin liquid films, algorithms for coordination of remotely operated robots (mini-submarines) in an aquatic testbed, and the hydrodynamics of whale flukeprints. New collaborations include the modeling of protein aggregation and the […]

## Martonosi, Susan

Applied Probability, Aviation Security, Homeland Security, Humanitarian Logistics, Mathematics, Operations Research, Terrorist Network Disruption

Susan Martonosi, PhD, Joseph B. Platt Associate Professor of Mathematics and director of the Harvey Mudd College Global Clinic Program, focuses her research on the application of operations research models and methodology to problems in the public sector, including homeland security, humanitarian logistics, and public policy. Her work has included probabilistic models to guide aviation […]

## Omar, Mohamed

Creativity in Math, Discrete Mathematics, Graph Theory, Math Competitions, Mathematics

Mohamed Omar, PhD, is a leading expert on creativity in mathematics. He has collaborated with national leaders in mathematics education to promote creativity as a critical element of learning. He has served on organizing committees for some of the largest high school mathematics competitions in the U.S. and Canada, including the American Mathematics Competition and […]

## Orrison, Michael

Algebraic Voting Theory, Harmonic Analysis on Finite Groups, Mathematics

Michael Orrison, PhD, enjoys finding, exploring and describing novel applications of the representation theory of finite groups. For example, by using ideas from the representation theory of symmetric groups, he and his colleagues have been able to offer alternative explanations and extensions to various foundational ideas in voting theory and statistics. Orrison is one of the […]

## Pippenger, Nicholas

Computation, Discrete Mathematics, Mathematics, Probability

Nicholas Pippenger, PhD, Avery Professor of Mathematics, researches discrete mathematics and probability, as well as mathematical applications to communication theory and theoretical computer science. Prior to joining HMC, Pippenger taught computer science at Princeton University and University of British Columbia, where he was appointed to a Canada Research Chair. Prior to UBC, he worked for […]

## Su, Francis E.

Algorithms, Game Theory, Geometric and Topological Combinatorics, Mathematical Economics, Mathematics

Francis Su, PhD, Benediktsson-Karwa Professor of Mathematics, studies the application of combinatorics, geometry, and topology to problems in the social sciences. One example is the subject of “fair division”: developing usable algorithms for dividing assets or liabilities fairly among several people, so that each is satisfied. This research was picked up in a news story […]

## Williams, Talithia

Data Analytics, Mathematics, Modeling, Statistics, STEM Outreach

Talithia Williams, PhD, develops statistical models which emphasize the spatial and temporal structure of data, and applies them to problems in the environment, She has partnered with the World Health Organization in developing a cataract model used to predict the cataract surgical rate for countries in Africa. Her research interests also include nonstationary covariance estimation […]

## Yong, Darryl

Applied Mathematics, Mathematics, Mathematics Education, Partial Differential Equations, Perturbation Theory, Teacher Learning

Darryl Yong, PhD, professor of mathematics and inaugural interim director of the Center for Teaching and Learning, focuses his research on secondary and tertiary mathematics education. He is primarily interested in how secondary-school mathematics teachers deepen their content knowledge for teaching, gain leadership skills, and learn new pedagogical strategies, particularly through peer communities. He serves on […]