Please consult the list below to find a faculty member that fits with your interests.
Make sure you have any necessary prerequisites, and then email us for an introduction.
| Faculty / Instructor | Research Interests | Prerequisites | Present & Past Students / Other Information |
|---|---|---|---|
George Andrews |
Number theory, partitions
Unavailable |
Read “Integer Partitions” by George Andrews and Kimmo Eriksson |
Sharon (Chuba) Garthwaite Winner: Undergraduate Student Poster Session on Partitions, AMS-MAA, San Diego (2002)Beth Morgan (2003)Frannie Worek (2006) |
| Shabnam Akhtari | Number theory | Required background: Elementary algebra (groups, rings and some field theory), elementary number theory or discrete mathematics. Some background in real analysis will be helpful, but not necessary. | I have advised undergraduate students’ research at University of Oregon, where I was a faculty member before joining Penn State.
I am open to accept research advisees starting Fall 2023. |
Andrew Baxter |
Unavailable | ||
Leonid Berlyand |
Co-Director of Center for Mathematics of Living and Mimetic Matter, Acting director of Center for Interdisciplinary Mathematics. Unavailable |
||
| Andrew Belmonte
|
Experimental fluid dynamics, viscoelastic materials, and applied mathematics | List Here | |
| Eli Byrne
|
Operations research, game theory, optimization, multivariate factor analysis | ||
| Jeffrey Case | Geometric Analysis – More Info Here | ||
| Jessica Conway
|
Math Biology Unavailable |
Math 220, Math 250 or 251, one of MATH 318, 414, 418. Programming in R or Python.
I will work with students interested in mathematical biology. Must first read this paper. |
|
| Kirsten Eisentraeger
|
Number theory, arithmetic geometry | Math 435 | Presently unavailable | Vladimir Itskov
|
Applied algebraic topology; Neural networks; Theoretical Neuroscience | More than two proof-based courses plus linear algebra |
| Mark Levi
|
I will work with students interested in mathematics motivated by or aimed at applications. | ||
| Luen-Chau Li
|
Must like matrices/differential equations and be able to program in Matlab | Computational Spectral Theory: Xikai Zhao |
|
Winnie Li |
Number theory and applications to spectral graph theory and coding theory Unavailable |
Comfortable with reading and writing proofs, some programming | Michael Boguslaw (2018);
Vibhu Saksena (2018) |
Xiantao Li |
MATH 451 or 455; and Math 412 or 417 |
Programming in Matlab or C | Molecular Modeling and Simulations: Lilith Antinori, Ryan Kane, Ke Yang, Hongyuan Zhan, and Xikai Zhao |
| Anna Mazzucato | Partial differential equations, fluids, elasticity, imaging and inverse problems, numerical methodsCurrently unavailable (Fall 2023 & Spring 2024) |
Math 251 or 411, Math 230, Math 412, Math 451 or 455 (455/456 preferred)
Basic knowledge of a programming language (C, Python, Matlab preferred) |
List here |
| Jason Morton
|
Applied algebraic geometry and tensor networks in statistics, computer science, and quantum informationUnavailable during Fall 2020, Spring 2021. Available Summer 2021. |
Math311W plus linear algebra. Prefers also abstract algebra | Undergrad projects on (i) time series, (ii) numerical linear algebra, (iii) multilinear logic. |
| Gary Mullen
|
Finite fields | MATH 311W Some programming |
|
Toan Nguyen |
Analysis of Partial Differential Equations, with applications to fluid dynamics and plasma physics |
MATH 250 or MATH 251 | |
Alexei Novikov |
Probability, Compressed Sensing Unavailable Summers |
Must know well, Linear Algebra and MATLAB (or Python) | |
| Mihran Papikian | Number Theory and Algebra | Some knowledge of Abstract and Linear Algebra (Math 435 and 436) | Yifei Zhang (Honors Thesis, 2022)Jacob Van Hook (Honors Thesis, 2019)Connor Cassady (Honors Thesis, 2018)Benjamin Taylor (Honors Thesis, 2013)Zheng Zhu (reading course, 2018)Qinhang Sun (reading course, 2012) |
| Jan Reimann | Mathematical logic, algorithmic information theory, fractal geometry and geometric measure theory Currently unavailable (Spring 2023) |
Good knowledge of C/C++ or Matlab/Octave. Some back- ground in analysis (ideally measure theory) will be helpful to understand the theoretical foundations. | Xingyu Zhang, Yikun Zhou:Fractal dimension of spatial data via algorithmic information theory Patrick Nicodemus |
| Tim Reluga
|
Mathematical biology including evolution, ecology, immunology, epidemiology, and economics |
Must know ODEs, linear algebra, some programming language (python preferred) | Hannah Pohlmann (2017)
Ryan Bradley, 2009 |
Wen Shen |
Nonlinear PDEs (hyperbolic conservations laws) and applications (to traffic flow, granular flow etc), numerical simulations of PDEs. |
Math 230, math250/251, MATH/CSE 451, or equivalent |
|
| Christopher-Lloyd Simon |
Combinatorics (Generating functions and polynomials invariants of graphs)
Arithmetic (continued fractions, Pell-Fermat equations, quadratic forms).
Low dimensional topology (curves in surfaces, knots in 3-manifolds).
Currently unavailable (Fall 2023)
|
Familiarity with enumerative combinatorics, group actions, number theory (>Math 311w).
Feeling comfrotable and willing to perform computer assisted experiments
(for example coding in Python, using PARI-GP, SAGE, Snappy).
|
|
| Michael Steward | commutative ring theory, integer-valued polynomials, and numerical semigroups | Nothing for numerical semigroup projects / Math 435 or Math 470 for commutative algebra projects | |
| Nicholas Stepanik | Mathematics Education – Multiple External Representations (Graphs, Tables, Diagrams, Equations, etc.), Representational Competence in Mathematics, Statistical Techniques for Analyzing Educational Experiments | Basic Statistics, a course in advanced statistics (ANOVA, Regression, etc.) | |
| Sergei Tabachnikov | Differential topology, dynamical systems, symplectic geometry and differential geometry Unavailable in Summers, Unavailable Fall 2023 |
See MASS Program | |
Matthew Willyard |
Computational Finance | Math 312 and some programming |
