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    Selected Department Personnel
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    Core Faculty

    • Asher Auel
      • Associate Professor
      • 339 Kemeny Hall · 603-646-3559
      • asher.auel@dartmouth.edu
      • Algebraic geometry; Number theory; Associative rings and algebras
      • website
      • about
        My research is in algebraic geometry and number theory. I am interested in systems of polynomial equations: Do they have a solution? If so, can we parameterize all the solutions? Can a computer do this in reasonable time? More generally, I'm interested in how the geometry of the space of solutions influences these questions.

        After getting my PhD at the University of Pennsylvania, I had an NSF postdoc at Emory University and NYU and a fellowship at the Max Plank Institute in Bonn. Then I was a Gibbs Assistant Professor at Yale for six years before arriving at Dartmouth. Many other experiences influenced me on the way to becoming a mathematician: I spent summers fighting forest fires in Oregon while deciding whether to major in math at Reed College; after college, I spent a year traveling and learning math in France on a Fulbright, where I rediscovered my love for research and decided to continue on to a PhD program; during graduate school in Philadelphia, I worked as a volunteer mechanic at a nonprofit bicycle cooperative and youth program. Inspired by my mentors along the way, I have always been motivated to give back and help students from all backgrounds find a connection to mathematics.
    • Juliette Bruce
    • Vladimir Chernov
      • Professor
      • 304 Kemeny Hall · 603-646-2421
      • vladimir.chernov@dartmouth.edu
      • Manifolds and cell complexes; Differential geometry; Relativity and gravitational theory
      • website
      • about
        My research area is topology, contact and Lorentz geometry and their applications to the mathematical physics in particular to general relativity.
    • Sergi Elizalde
      • Professor
      • 332 Kemeny Hall · 603-646-8191
      • sergi.elizalde@dartmouth.edu
      • Combinatorics
      • website
      • about
        My research interests are mostly in enumerative and algebraic combinatorics. I work on problems involving permutations, pattern avoidance, bijections, generating functions, lattice paths and Young tableaux. Lately I have also become interested in applications to dynamical systems (using permutations to distinguish between determinism and randomness) and mathematical biology (modeling chromosomal instability in cancer cells using combinatorial and probabilistic tools).

        I grew up in Barcelona, where I went to Universitat Politcnica de Catalunya as an undergraduate. After getting my Ph.D. from MIT, supervised by Richard Stanley, I spent a year at MSRI as a postdoc, before coming to Dartmouth. I am also the House Professor of East Wheelock House, and I like playing the piano, playing soccer, and traveling.
    • Alena Erchenko
    • Feng Fu
      • Associate Professor
      • 210 Kemeny Hall · 603-646-2293
      • feng.fu@dartmouth.edu
      • Game theory and AI; Human behavior; Evolutionary dynamics; Health data science; Neuroscience
      • website
      • about
        At Dartmouth, my group's research has been driven by five thrusts:

        (1) Evolutionary Game Theory with Applications: Population Structure and Evolution of Cooperation;
        (2) Computational Social Science: Evolutionary Dynamics of Human Behavior;
        (3) Biomedical Data Science: Dynamics of Cancer Evolution and Treatment;
        (4) Public Health Data Science: Behavioral Epidemiology and Network-based Interventions;
        (5) Computational Neuroscience: E/I Imbalance Hypothesis and Neural Synchronization.

        This interdisciplinary field of our research has a significant data science component, and integrates applied mathematics, social science, and computer science, evolutionary biology, and statistical physics. Our research aims to facilitate and promote interdisciplinary research that has a foundation on mathematics and also to synergistically connect evolutionary game theory with data science through data-driven mathematical modeling with real-world applications that have broad and significant impact on our society.
    • Anne Gelb
      • Professor
      • 207 Kemeny Hall · 603-646-2419
      • annegelb@math.dartmouth.edu
      • Numerical analysis; Developing numerical algorithms for edge detection and image reconstruction; numerical PDEs
      • website
      • about
        Anne Gelb is the John G. Kemeny Parents Professor of Mathematics. She obtained her Ph.D. from the Division of Applied Mathematics at Brown University in 1996. Following her postdoctoral fellowship at the Center for Parallel Computing at the California Institute of Technology, she was a professor in the School of Mathematical and Statistical Sciences at Arizona State University until 2016 when she joined the Department of Mathematics at Dartmouth College. Her research involves developing highly accurate and efficient data-driven numerical methods for extracting important information in applications such as medical imaging, synthetic aperture radar imaging, climatology, signal processing, and fluid dynamics.
    • Dimitris Giannakis
      • Professor
      • 337 Kemeny Hall · 603-646-2951
      • dimitrios.giannakis@dartmouth.edu
      • Dynamical systems; Data science; Quantum information; Climate dynamics
      • website
      • about
        Dimitrios Giannakis is a Jack Byrne Professor in Mathematics. He received BA and MSci degrees in Natural Sciences from the University of Cambridge in 2001, and a PhD degree in Physics from the University of Chicago in 2009. Following a postdoctoral appointment at the Courant Institute of Mathematical Sciences, New York University, from 2009 to 2012, he was an Assistant Professor and then Associate Professor of Mathematics at Courant until 2021 when he joined the Department of Mathematics at Dartmouth College. Giannakis' current research focus is at the interface between operator-theoretic techniques for dynamical systems and machine learning. His recent work includes the development of techniques for coherent pattern extraction, statistical forecasting, and data assimilation based on data-driven approximations of Koopman operators of dynamical systems. He has worked on applications of these tools to atmosphere ocean science, fluid dynamics, and molecular dynamics.
    • Marcia Groszek
    • Philip Hanlon
      • Professor
      • 204 Kemeny Hall · 603-646-3610
    • Yoonsang Lee
      • Assistant Professor
      • 206 Kemeny Hall · 603-646-3178
      • ylee@math.dartmouth.edu
      • Applied and Computational Mathematics; Numerical PDEs, Uncertainty Quantification, Data Assimilation
      • website
      • about
        My research focuses on applied mathematics and computational issues in prediction and uncertainty quantification of complex dynamical systems. I am interested in particular in computational methods to efficiently combine numerical prediction models with data, which are scalable for big data and high-dimensional systems.
    • Ethan Levien
      • Assistant Professor
      • 205 Kemeny Hall
      • ethan.a.levien@dartmouth.edu
      • Probability theory and stochastic processes; Mathematical biology; Statistics
      • about
        Ethan Levien obtained his PhD in Mathematics in 2018 from the University of Utah, where he studied the stochastic dynamics of chemical reaction networks. He went on to spend 3 years as a postdoctoral fellow in applied mathematics at Harvard University and Brandies University before joining the mathematics department at Dartmouth. His research focuses on the role of randomness in biology, especially single-cell physiology and evolution.
    • Peter J. Mucha
      • Professor
      • 240 Kemeny Hall · 603-646-9825
      • peter.j.mucha@dartmouth.edu
      • Complex systems; Data analysis; Networks
      • website
      • about
        Peter Mucha is the Jack Byrne Distinguished Professor in Mathematics. After receiving his Ph.D. in Applied and Computational Mathematics at Princeton, Mucha was a postdoctoral instructor at MIT and faculty at Georgia Tech and the University of North Carolina at Chapel Hill before coming to Dartmouth. Mucha's research group embraces an interdisciplinary approach to data science focused on networks and network representations, working with real-world data in close collaboration with domain science experts. The research group includes postdoctoral scholars, graduate students, and undergraduate researchers working on different aspects of networks and data science, including developments in community detection, modeling network dynamics, and diffusive processes with applications to disease and health behaviors.
    • Rosa C. Orellana
      • Professor
      • 319 Kemeny Hall · 603-646-2430
      • rosa.c.orellana@dartmouth.edu
      • Combinatorics
      • website
      • about
        My research is in algebraic combinatorics with a focus on combinatorial representation theory and symmetric functions. I received my Ph.D. from the University of California at San Diego and was fortunate to spend one year in the UC President's Postdoctoral Fellowship Program before coming to Dartmouth. I like teaching and supervising student research. I co-founded a chapter of the Association for Women in Mathematics in an effort to increase the number of women taking and majoring in mathematics at Dartmouth. I have also organized Sonia Kovalevsky Math Days to encourage middle and high school girls in our community to study mathematics.

        Besides mathematics research, I also enjoy running and reading fiction.
    • Scott D. Pauls
      • Professor
      • 303 Kemeny Hall · 603-646-1047
      • scott.pauls@dartmouth.edu
      • Differential geometry; Data analysis; Complex systems; Applications to economics, neuroscience, sociology, and political science.
      • website
      • about
        Professor Pauls' research in mathematics focuses on building and analyzing network models for social, biological, and physical systems. In his theoretical work, he aims to find network theoretic signatures for outcomes of dynamical processes. Recently, he has been able to apply these techniques to systems in political science, economics, neuroscience, and environmental science.
    • Ina Petkova
      • Associate Professor
      • 317 Kemeny Hall · 603-646-1614
      • ina.petkova@dartmouth.edu
      • Low-dimensional topology
      • website
      • about
        Ina Petkova studies Heegaard Floer homology and its applications to low-dimensional topology. The original definition involves heavy analysis, whereas recent computational methods rely on algebra and combinatorics. The variant of Heegaard Floer homology for links categorifies the famous Alexander polynomial. Ina is also interested in the connections between the variant for tangles (pieces of a knot) and categorified representation theory.

        In 2014, Ina joined the Bulgarian women’s hockey team and played in her first world championship. She has also participated in the Montreal Media Celebrity Hockey Marathon and has played for the Columbia University Women’s Ice Hockey Club. In her free time Ina also enjoys drumming.
    • Daniel N. Rockmore
    • Craig J. Sutton
    • Salim Tayou
    • John D. Trout
      • Associate Professor
      • 302 Kemeny Hall · 603-646-2958
      • jody.trout@dartmouth.edu
      • Functional analysis; K-theory; Quantum theory; Operator Algebras, Noncommutative Geometry, Index Theory, Connes-Higson E-theory, Fredholm Manifolds
      • website
    • Erik van Erp
    • John Voight
      • Professor
      • 341 Kemeny Hall · 603-646-2672
      • jvoight@gmail.com
      • Number theory; Algebraic computing; Associative rings and algebras; Arithmetic geometry
      • website
      • about
        My research interests are in number theory, with a focus on algorithmic aspects. Since the time of Diophantus of Alexandria, mathematicians have sought to understand solutions to algebraic equations in whole and rational numbers, and many fascinating questions remain unanswered. For example, what whole numbers can you obtain as the difference of two cubes of rational numbers? Such cubic equations in two unknowns define what are known as elliptic curves, and one would be hard pressed to find a more beautiful structure in abstract and computational mathematics than the group law on an elliptic curve! My research is concerned with algorithmic techniques to understand elliptic curves and their rational points, as well as the spaces that parametrize them.
    • David L. Webb
    • Dana P. Williams
      • Professor
      • 305 Kemeny Hall · 603-646-2990
      • dana.p.williams@dartmouth.edu
      • Functional analysis; Operator Algebras, Crossed products of C*-dynamical systems and Morita Equivalence
      • website
      • about
        I am a functional analyst, and my area of expertise is operator algebras. My main interests are C*-dynamical systems, C*-crossed products and groupoid C*-algebras. In the past, my work has focused on Morita equivalence of C*-algebras, the ideal structure of C*-algebras, and continuous-trace C*-algebras. I can provide thesis supervision in these areas.
    • Peter Winkler
      • Professor
      • 231 Kemeny Hall · 603-646-3468
      • peter.winkler@dartmouth.edu
      • Combinatorics; Probability theory and stochastic processes; Computer science
      • website
      • about
        I teach and do research in both mathematics and computer science, with emphasis in discrete mathematics, theory of computation, probability, and statistical physics.
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