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Center for Undergraduate Research in Mathematics

PSU Mathematics Department - Faculty Participants

Faculty Participants

Find someone who might fit 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

Andrew Baxter

Andrew Baxter
Enumerative combinatorics, combinatorics of permutations MATH 310 or
some programming experience
Available Spring and Summer 2015. Unavailable Fall 2015.
Ross Nycum,
Charles Walker.
Alberto Bressan

Alberto Bressan
Optimal control or game theory, with applications to economics or finance MATH 220, 230, 250
George Andrews

George Andrews
Number theory, partitions 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)
Andrew Belmonte

Andrew Belmonte
Experimental fluid dynamics, viscoelastic materials, and applied mathematics List Here
Eli Byrne

Operations research, game theory, optimization, multivariate factor analysis
Jessica Conway

Jessica Conway
Math Biology Math 220, Math 250 or 251, one of MATH 318, 414, 418.
Programming in MATLAB, R, Julia, Python, Mathematica, C or Fortran
Unavailable during 2014-2015
Carina Curto

Carina Curto
Mathematical Neuroscience
Kirsten Eisentraeger

Kirsten Eisentraeger
Number theory, arithmetic geometry Unavailable, 2016
Edward Green

Edward Green
I am particularly interested in helping students to apply ideas, results, and proof techniques from various fields of maths to problems in game theory and decision theory. Booked for Fall, 2013.
Kaicheng Wang (dual math/econ major) (2013)
Daniel Kannell (dual math/econ major)(2012-2013);
Justin Max; Tesia Chuderewicz (2013)
Diane Henderson

Diane Henderson
Experimental fluid mechanics, nonlinear water waves MATH 220/250/251 List Here
Vladimir Itskov

Vladimir Itskov
Applied algebraic topology; Neural networks; Theoretical Neuroscience
More than two proof-based courses plus linear algebra Available
Mark Levi

Mark Levi

I will work with students interested in mathematics motivated by or aimed at applications. Available academic year.
Jenny Li

Jenny Li
Mathematical economics, mathematical finance, computational economics
Luen-Chau Li

Luen-Chau Li

Must like matrices/differential equations and be able to program in Matlab Computational Spectral Theory:
Xikai Zhao
Xiantao Li

Xiantao Li

one of MATH 451 or 455
one of Math 412 or 417
Programming in Matlab or C
Molecular Modeling and Simulations:
Lilith Antinori, Ryan Kane, Ke Yang, Hongyuan Zhan, and Xikai Zhao
Chun Liu

Chun Liu
Partial differential equations, calculus of variations,
applications in complex fluids
MATH 250 or 251
Lyle Long

Lyle Long
neural networks, computational intelligence, and cognitive robotics must be interested in programming
Anna Mazzucato

Anna Mazzucato
Partial differential equations, fluid mechanics, elasticity,
harmonic and microlocal analysis, inverse problems, financial math
Math 220/230/251 required. 412 and 451 or 455 preferred. Some familiarity with MATLAB. Some programming experience. List here
Not available Fall 2015
Jason Morton

Jason Morton
Applied algebraic geometry and tensor networks in statistics,
computer science, and quantum information
Math311W plus linear algebra. Prefers also abstract algebra Undergrad projects on (i) time series, (ii) numerical linear algebra, (iii) multilinear logic.
Gary Mullen

Gary Mullen
Finite fields MATH 311W
Some programming
Victor Nistor

Victor Nistor

MATH 140 and MATH 141 Some programming skills Unavailable: 2014-2015
Toan Nguyen

Toan Nguyen
Analysis of Partial Differential Equations, with applications to fluid dynamics and plasma physics
MATH 250 or MATH 251 Available: 2014-2015
Mihran Papikian

Mihran Papikian
Number Theory and Algebra
Some knowledge of Abstract and Linear Algebra Available: 2013-2014
Qinhang Sun (reading course);
Benjamin Taylor
Jan Reimann

Jan Reimann
Mathematical logic, algorithmic information theory,
fractal geometry and geometric measure theory
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
Booked up for 2015-2016.
Tim Reluga

Tim Reluga
Mathematical biology including evolution, ecology,
immunology, epidemiology, and economics
Must know ODEs, linear algebra, some programming language (python preferred)
Ryan Bradley, 2009
Corrine Jones, Galen Lunch,
Allegra Inciardi (honors thesis), 2015
Ailaura Donahoe
Larry Rolen

Larry Rolen
Number theory and modular forms
Complex analysis would be helpful Summer Research Program
Alexandru Ciolan and Robert Neiss , On the convergence of the Rogers-Ramanujan continued fraction and its generalization , Research in Number Theory, to appear.
Minjoo Jang and Steffan Löbrich , Radial Limits of the Universal Mock Theta Function $g_3$ , submitted, arXiv:1504.05365.
Joschka Braun, Johannes Buck, and Johannes Girsch, Class invariants for non-holomorphic modular functions arising from modular forms of negative weight ,Research in Number Theory, to appear.
6 BS and MS theses
James Sellers

James Sellers
Number theory, partitions, enumerative combinatorics MATH 310
Some programming
Kevin Courtright, 2004 Rodseth, O., Sellers, J. A., and Courtright, K. M. , Arithmetic Properties of Non-Squashing Partitions into Distinct Parts , Annals of Combinatorics 8, no. 3 (2004), 347-353
Courtright, K. M. and Sellers , J. A., Arithmetic Properties for Hyper m–ary Partitions , INTEGERS 4 (2004), Article A6
Wen Shen

Wen Shen
nonlinear PDEs (hyperbolic conservations laws)
and applications (to traffic flow, granular flow etc),
numerical simulations of PDEs,
Game theory and Differential games with applications.
Math 230, math250/251,
MATH/CSE 451, or equivalent
Looking for students, 2013-2014
Sergei Tabachnikov

Sergei Tabachnikov
Differential topology, dynamical systems,
symplectic geometry and differential geometry
MASS students See MASS Program
Available: 2015-2016.
Matthew Willyard

Matthew Willyard
Computational Finance Math 312 and some programming
Booked for Fall 2015