44 faculty and 40 courses in Mathematics at University of Notre Dame.
- Qing Han, Notre Dame Collegiate Professor h-index 142
Differential Geometry and Partial Differential Equations Bio Research Interests Partial differential equations and differential geometry. Selected Publications Q. Han, R. Hardt & F.-H. Lin, Geometric measure of singular sets of elliptic
Notable: “A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems” (2012) · 1,660 citations
- Jiahong Wu, Professor h-index 52
Fluid Mechanics and Partial Differential Equations Bio Research Interests My research focuses on partial differential equations related to fluids. I have worked on the Navier-Stokes equations, the surface quasi-geostrophic equation and gene
Notable: “Wolbachia induces reactive oxygen species (ROS)-dependent activation of the Toll pathway to control dengue virus in the mosquito Aedes aegypti” (2011) · 592 citations
- Anand Pillay, Professor; William J. Hank Family h-index 35
Model theory Bio Research Statement I work in model theory, a branch of mathematical logic. A central part of the subject is the classification of first order theories, where stability theory and its generalizations play an important role.
Notable: “Modified failure mode and effects analysis using approximate reasoning” (2003) · 580 citations
- Peter Cholak, Professor; Associate Chair h-index 31
Computability theory Bio Research Interests Cholak works in computability theory. In particular, Cholak focuses on the relationship between computability and definability. A classic example is Post’s result that the set of integers accepted
Notable: “On the Restraining Power of Guards” (1999) · 362 citations
- Alex Himonas, Professor h-index 31
Partial Differential Equations Bio Research Interests Partial differential equations (PDE) studying fundamental questions like existence and uniqueness of solution, stability, and regularity properties. Many of these PDE arise in mathematic
Notable: “Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation” (2007) · 242 citations
- Juan Migliore, Professor h-index 29
Algebraic Geometry/Commutative Algebra Bio Research Interests In the first part of my career, my research has focused on liaison theory of subschemes of projective space, a specialty within the broader area of algebraic geometry and commuta
Notable: “The Weak and Strong Lefschetz properties for Artinian K-algebras” (2003) · 223 citations
- David Galvin, Professor; Department Chair h-index 24
Graph theory, Combinatorics Bio Research Interests My research is in discrete probability, combinatorics and graph theory; in particular, the applications of combinatorial ideas to the study of phase transitions in statistical physics model
Notable: “Contemporary Use of Partial Nephrectomy at a Tertiary Care Center in the United States” (2009) · 150 citations
- Matthew Gursky, Professor h-index 23
Differential Geometry and Partial Differential Equations Bio Research Interests Broadly speaking, my research is in geometric analysis: conformal geometry, partial differential equations, the calculus of variations, and global differential
Notable: “An Equation of Monge-Ampere Type in Conformal Geometry, and Four-Manifolds of Positive Ricci Curvature” (2002) · 262 citations
- Gerard Misiolek, Professor h-index 23
Analysis and Geometry Bio Research Interests Geometric Analysis, Partial Differential Equations, Fluids Selected Publications B. Khesin, G. Misio{\l}ek and A. Shnirelman, Geometric Hydrodynamics in open problems, ARMA, Arch. Ration. Mech. A
Notable: “Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation” (2007) · 242 citations
- Brian C. Hall, Professor h-index 21
Mathematical Physics and Lie Groups Bio Research Interests I consider myself a mathematical physicist and have worked on generalizations of the Segal-Bargmann transform and on 2-dimensional Yang-Mill theory. Lately, my interests have shifte
Notable: “The Segal-Bargmann "Coherent State" Transform for Compact Lie Groups” (1994) · 332 citations
- Roxana Smarandache, Professor h-index 18
Algebra/Applied Algebra/Coding Theory Bio Research Interests My research area is applied (discrete) mathematics. I work on error control coding theory, in particular on algebraic and combinatorial problems that occur when constructing or an
Notable: “Maximum Distance Separable Convolutional Codes” (1999) · 182 citations
- Liviu Nicolaescu, Professor h-index 18
Topology and Probability Bio Research Interests My research interests belong to the area of mathematics known as global analysis. More specifically, I use analytical tools in the study of shape. Since 1995 I have been almost exclusively int
Notable: “Seiberg–Witten invariants and surface singularities” (2002) · 95 citations
- Claudia Polini, Professor; Glynn Family Honors Collegiate Professor h-index 18
Algebraic geometry Bio Research Interests Commutative Algebra and its interactions with Algebraic Geometry. I am particularly interested in the theory of linkage and residual intersections; blow-up algebras, such as Rees algebras, symmetric
Notable: “Links of Prime Ideals and Their Rees Algebras” (1995) · 68 citations
- Michael Gekhtman, Professor h-index 17
Integrable Systems, Poisson Geometry, Cluster Algebras, Inverse Problems, Mathematical Physics Bio Research Interests Integrable systems, Poisson geometry, cluster algebras, inverse problems. Selected Publications M. Gekhtman, M. Shapiro an
Notable: “Cluster algebras and Weil-Petersson forms” (2005) · 157 citations
- Sergei Starchenko, Professor h-index 17
Model theory Bio Research Interests I am interested primarily in applications of logic – specifically, model theory – to real analytic geometry, geometric measure theory, asymptotic analysis and questions of differentiability and analyticit
Notable: “A trichotomy theorem for o-minimal structures” (1998) · 78 citations
- Jeffrey Diller, Professor h-index 15
Complex Analysis and Geometry, Dynamical Systems Bio Research Interests I study multi-variable complex dynamics. Using tools from pluripotential theory, complex algebraic geometry and dynamical systems, my goal is to understand the behavior
Notable: “Dynamics of bimeromorphic maps of surfaces” (2001) · 375 citations
- Andrew Putman, Notre Dame Professor of Topology h-index 15
Geometry, Topology, Group Theory, and Representation Theory Bio Research Statement: My research focuses on geometric and topological properties of infinite groups. I am particularly interested in mapping class groups of surfaces, automorphi
Notable: “Representation stability and finite linear groups” (2017) · 110 citations
- Matthew Dyer, Professor h-index 14
Algebra, Topology Bio Research Interests M. Dyer works in the general area of group theory and representation theory. Research is focused on Coxeter groups, Iwahori-Hecke algebras and their relationships with representation theories from al
Notable: “Reflection subgroups of Coxeter systems” (1990) · 192 citations
- Pavel Mnev, Associate Professor h-index 14
Mathematics Physics Bio Research Interests My research is in mathematical physics, more precisely I am interested in the interactions of quantum field theory with topology, homological/homotopical algebra and supergeometry. One important ho
Notable: “Classical BV theories on manifolds with boundary” (2014) · 134 citations
- Mark Behrens, John and Margaret McAndrews Professor h-index 14
Algebraic Topology Bio Research Statement I study algebraic topology. Specifically, I am interested in computational aspects of the field, such as the homotopy groups of spheres, and the structure within these that can be gleaned from certa
Notable: “A modular description of the K(2)-local sphere at the prime 3” (2005) · 77 citations
- Richard Hind, Professor h-index 11
Differential Geometry Bio Research Interests I am interested in complex and symplectic geometry. A focus for research is the tangent bundles of real-analytic Riemannian manifolds. These carry canonical complex and symplectic structures. The
Notable: “The geometry of Grauert tubes and complexification of symmetric spaces” (2003) · 60 citations
- Claudiu Raicu, Frank M. Freimann Collegiate Professor h-index 11
Algebraic Geometry/Commutative Algebra Bio Selected Publications Local cohomology with support in generic determinantal ideals , with Jerzy Weyman, arXiv: . Local cohomology with support in ideals of maximal minors and sub–maximal
Notable: “Secant varieties of Segre–Veronese varieties” (2012) · 67 citations
- Katrina D. Barron, Associate Professor h-index 11
Algebra/Mathematical Physics Bio Research Interests Vertex operator superalgebras and the algebraic and geometric foundations of superconformal field theory. Conformal field theory (CFT), or more specifically, string theory, and related sup
Notable: “Twisted Sectors for Tensor Product Vertex Operator Algebras Associated to Permutation Groups” (2002) · 78 citations
- Natasha Dobrinen, Professor h-index 10
Logic Bio Research Interests Ramsey theory of infinite relational structures and connections with forcing methods; canonical Ramsey theory for equivalence relations on relational structures; ultrafilters and Tukey and Rudin-Keisler structur
Notable: “Almost everywhere domination” (2004) · 38 citations
- Gioacchino Antonelli, Assistant Professor h-index 9
Geometric Analysis Bio Research Interests "I am broadly interested in Geometric Analysis. My work draws from a range of areas, including Sub-Riemannian Geometry, Geometric Measure Theory, and Geometric Group Theory. In particular, I have st
Notable: “Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds” (2023) · 31 citations
- Eric Riedl, Associate Professor h-index 9
Algebraic Geometry Bio Research Interests I am an algebraic geometer, interested in birational geometry, rational curves, hypersurfaces, and rationality problems. Specifically, I am interested in studying the geometry of hypersurfaces in pr
Notable: “Largest Minimal Percolating Sets in Hypercubes under $2$-Bootstrap Percolation” (2010) · 32 citations
- Christopher Schommer-Pries, Associate Professor h-index 8
Topology, Higher Category Theory, and Quantum Field Theory Bio Research Interests I am interested in the intersection of three mathematical subjects: topology, higher category theory, and quantum field theory. In recent years the interactio
Notable: “The Classification of Two-Dimensional Extended Topological Field Theories” (2011) · 172 citations
- Andrei Jorza, Associate Professor of the Practice h-index 7
Number Theory and Algebraic Geometry Bio Research Interests My research interests revolve around the interplay between number theory and algebraic geometry, a vast area which includes classical and arithmetic geometry, modular forms and Gal
Notable: “Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves” (2009) · 28 citations
- Steven Karp, Assistant Professor h-index 6
Algebraic combinatorics Bio Research Interests My research centers around total positivity, which is the study of spaces and their positive parts. For example, a square matrix is called totally positive if all of its square submatrices have
Notable: “Sign variation, the Grassmannian, and total positivity” (2016) · 34 citations
- Nick Salter, Assistant Professor h-index 6
Algebra/Algebraic Geometry and Topology Bio Research Statement My work lies at the juncture of geometry/topology, geometric group theory, and complex algebraic geometry. I study the connections between mapping class groups (including braid
Notable: “Surface bundles over surfaces with arbitrarily many fiberings” (2015) · 12 citations
- Marianna Russkikh, Assistant Professor h-index 6
Complex analysis, probability theory and mathematical physics Bio Research Interests Complex analysis, probability theory and mathematical physics Selected Publications Dimers in piecewise Temperleyan domains, Commun. Math. Phys.
Notable: “Dimer model and holomorphic functions on t‐embeddings of planar graphs” (2023) · 25 citations
- Alexandra Kjuchukova, Assistant Professor h-index 5
Topology Bio Research Statement Selected Publications Dihedral branched covers of four-manifolds Advances in Mathematics ): 1-33. Wirtinger systems of generators of knot groups , with R. Blair, R. Velazquez, P. Villanueva. Communic
Notable: “Dihedral branched covers of four-manifolds” (2018) · 11 citations
- Juanita Pinzon Caicedo, Assistant Professor h-index 5
Topology and Probability Bio Research Interests Topology deals with global or large-scale structures of objects. Geometric topology is the study of manifolds and its ultimate goal is the classification of manifolds within a certain framewor
Notable: “Framed instanton homology of surgeries on L-space knots” (2022) · 14 citations
- Nicholas Ramsey, Assistant Professor h-index 4
Logic Bio Research Interests Mathematical logic: model theory and, in particular, Shelah’s classification theory and its applications to algebra and finite and infinitary combinatorics. Selected Publications On model-theoretic tree properti
Notable: “Generic expansion and Skolemization in NSOP 1 theories” (2018) · 27 citations
- Ritvik Ramkumar, Assistant Professor h-index 3
I am interested in algebraic geometry and its interactions with commutative algebra and combinatorics, particularly in the context of moduli spaces. Selected Publications The Hilbert scheme of points on a threefold, I with Joachim Jelisieje
Notable: “On the tangent space to the Hilbert scheme of points in 𝐏³” (2022) · 5 citations
- Annette Pilkington, Professor of the Practice h-index 2
Algebra Bio Research Interests My research uses results from Classical groups, K-theory, Number theory, Quadratic forms, Coxeter groups and representation theory. In particular, with respect to classical groups, my work has focused on the t
Notable: “Convex Geometries on Root Systems” (2006) · 22 citations
- Arthur Lim, Professor of the Practice
Algebra and Representation Theory Bio "Here are the courses that I design and teach: " --- weblinks follow--- Math 10350 - Calculus A Math 10360 - Calculus B Math 20480 - Intro to Dynamical Systems for Scientist Research Interests I am equa
- Brian Mulholland, Assistant Teaching Professor
Math Pedagogy, Catholic Intellectual Tradition, Digital Technology, Interdisciplinary Crossovers, Survivor Bio Short Bio: Brian Mulholland is an Associate Teaching Professor in the Department of Mathematics at the University of Notre Dame
- Kathryn Mulholland, Assistant Teaching Professor
Algebra and the Scholarship of Teaching and Learning Bio Research Interests My graduate research connected the two fields of Cluster Algebras and Poisson Geometry. More specifically, in my dissertation I constructed a generalized cluster al
- Neil Nicholson, Professor of the Practice
Primary: collaborative research projects with undergraduates, varying topics and fields; topology, specifically knot theory and the relationships between knot invariants and knot polynomials, the space of piecewise linear knots Secondary: k
- Nicholas Edelen, Associate Professor
Differential Geometry & PDE's Bio Research Interests I study problems in geometric analysis and geometric measure theory. I am particularly interested in the regularity of minimal surfaces and mean curvature flow. Minimal surfaces are mathe
- Samuel Evens, Professor; Director of Graduate Studies
Algebra Bio Research Interests Representation theory of Lie groups and geometry, including Poisson geometry and perverse sheaves. In particular, I study the interrelation between geometry and problems in the representation theory of Lie gro
- Shuddhodan Kadattur Vasudevan, Assistant Professor
Selected Publications: (with Ankit Rai) “Perverse filtrations via Brylinski-Radon transformations”, arXiv: (with Deepam Patel) “The Brylinski-Radon transformation in characteristic p 0”, arXiv (Submitted) “The (no
- Yangyang Li, Assistant Professor
Differential Geometry, Partial Differential Equations, Geometric Measure Theory Bio Research Interests Yangyang's research interests include differential geometry, partial differential equations, geometric measure theory, geometric flows, a
Roster/catalog compiled from the college’s public directory. Faculty counts are directory headcounts; the named list may be a subset. h-index shown only for ORCID-backed or high-confidence OpenAlex matches. Data as of 2026-07-02.