Find Academic Supervisors

Andrey SmirnovView profile

Associate Professor

• Enumerative geometry
• Mathematical physics
• Representation theory
• +5 more

Andrey Smirnov is an Associate Professor of Mathematics at the University of North Carolina at Chapel Hill, where he also holds the distinguished position of William R. Kenan, Jr. Scholar. He is based in the Department of Mathematics within the College of Arts and Sciences, conducting research at the intersection of algebraic geometry, mathematical physics, and representation theory. His research spans several interconnected areas including enumerative geometry , mathematical physics , representation theory , combinatorics , and number theory . A particular focus of his work involves quantum K-theory, mirror symmetry, and integrable systems, where he has made significant contributions to understanding the deep connections between algebraic geometry and quantum physics. His recent publications demonstrate a consistent focus on quantum geometric methods and their applications to enumerative problems . The work prominently features themes of 3D mirror symmetry , quantum difference equations , and stable envelopes , establishing new bridges between algebraic geometry, representation theory, and mathematical physics. These contributions have advanced our understanding of quantum cohomology and K-theory of algebraic varieties. Scientific Honors: William R. Kenan, Jr. Scholar - a prestigious endowed professorship recognizing outstanding contributions to research and scholarship Contact Information: Email: asmirnov@live.unc.edu Office: 307A Phillips Hall, University of North Carolina at Chapel Hill Department: Department of Mathematics, College of Arts and Sciences

Ruofan JiangView profile

Visiting Assistant Professor

• Algebraic Geometry
• Arithmetic Geometry
• Moduli Spaces
• +5 more

Ruofan Jiang is currently a Morrey Visiting Assistant Professor at the University of California, Berkeley, mentored by Sug Woo Shin and Yunqing Tang. He completed his PhD at the University of Wisconsin-Madison under the supervision of Ananth Shankar. His research focuses on algebraic and arithmetic geometry, with a particular emphasis on moduli spaces and representation theory. Research Interests Arithmetic and geometry of Shimura varieties Enumerative geometry Representation theory Topology Combinatorics Scientific Awards Advising and Grants No formal advisees or grants information is provided in the available text. Labs and Teams No specific labs or teams are mentioned in the provided information.

Edward RichmondView profile

Associate Professor

• Algebraic Combinatorics
• Algebraic Geometry
• Lie Theory
• +1 more

Edward Richmond is an Associate Professor and Director of Graduate Studies in the Department of Mathematics at Oklahoma State University. He previously held postdoctoral positions at the University of British Columbia (2010-2014) and the University of Oregon (2008-2010), and earned his Ph.D. in Mathematics from the University of North Carolina at Chapel Hill in 2008 under Prakash Belkale. His academic career includes roles such as Teaching Fellow (2002-2008) and Math Help Center Director (2006-2007) at UNC. Research Interests: His work focuses on algebraic combinatorics, algebraic geometry, Lie theory, and representation theory. Key research themes include Coxeter groups, Schubert varieties, billey-postnikov decompositions, and applications to geometric and combinatorial problems. He has contributed to understanding isomorphism problems in Schubert varieties, noncommutative coefficients, and smoothness criteria for algebraic structures. Recent Publications: Recent studies explore permutation pattern avoidance, cominuscule Schubert varieties, and nil-Hecke rings. These papers highlight collaborations with researchers like S. Oh, T. Grigsby, and K. Zainoulline, with applications to Young's lattice, Springer fibers, and affine flag varieties. Academic Service: Richmond has co-organized numerous special sessions at conferences, including topics in combinatorics, Lie theory, and Schubert calculus. He has also contributed to course design, such as Math 3933: Introduction to Research Methods at OSU, and participated in outreach activities like Math Mania and ELMACON.

Amanda BurcroffView profile

Research Fellow

• Algebraic Combinatorics
• Cluster Algebras
• Scattering Diagrams
• +6 more

Amanda Burcroff is a mathematician specializing in algebraic combinatorics, currently serving as a President's Postdoctoral Fellow at the University of California, Davis. Starting in September 2025, she will join MIT as a School of Science Dean's and NSF Postdoctoral Fellow. Her research explores the connections between cluster algebras, scattering diagrams, and algebraic geometry, with additional contributions to number theory, graph theory, and combinatorial structures. Harvard University (Ph.D., Mathematics) University of Cambridge (M.A.St, Mathematics) Durham University (M.A.S., Pure Mathematics) University of Michigan (B.S., Mathematics) Burcroff's research focuses on: Cluster algebra positivity and expansion formulas in low-rank settings Scattering diagram combinatorics and tropical geometry Hyperbolic Coxeter polytopes and dimension bounds Ehrhart theory and Hilbert bases for convex cones Combinatorics on words and pattern avoidance Domination polynomials and graph invariants Her publications reveal interdisciplinary trends spanning algebraic combinatorics, geometric structures, and number-theoretic patterns. Recent work examines quantum cluster algebras, continued fractions, and convex geometry. Burcroff's awards include prestigious Marshall, NSF, and President's Postdoctoral Fellowships. Marshall Scholarship (UK study funding) NSF Postdoctoral Fellowship (MIT appointment) President's Postdoctoral Fellowship (UC Davis) Burcroff actively promotes STEM diversity through mentorship programs like the Math Includes Mentorship Program and Graduate Research Opportunities for Women (GROW) Conference. Her mathematical outreach extends to high school initiatives including the Oakland University Summer Mathematics Institute and FIRST Robotics.

Steve ButlerView profile

Professor

• Spectral Graph Theory
• Enumerative Combinatorics
• Mathematics of Juggling
• +3 more

Steve Butler is a Professor and the Barbara J. Janson Professor in the Department of Mathematics at Iowa State University. His research focuses on spectral graph theory, combinatorics, and the mathematics of juggling. He earned his Ph.D. from UC San Diego (2008) under Fan Chung and completed an NSF Postdoc at UCLA with Benny Sudakov. Research Interests: Spectral Graph Theory: Studies eigenvalues of graph matrices, equitable partitions, and Laplacian properties. Recreational Mathematics: Explores mathematical patterns in juggling, card shuffling, and performance. Combinatorics: Investigates Eulerian numbers, distance matrices, and graph automorphisms. Scientific Awards: Barbara J. Janson Professorship (2017) LAS Early Achievement in Teaching Award (2014) Cassling Family Faculty Award (2014) MAA Iowa Section Award for Distinguished Teaching (2015) NSF Postdoctoral Fellowship (2008-2011) Advising and Outreach: Butler actively collaborates with students, producing educational videos and organizing undergraduate research initiatives. He served as Iowa State's calculus coordinator (2018-2020) and contributes to outreach programs for young STEM enthusiasts.

Theo DouvropoulosView profile

Assistant Professor

• Algebraic Combinatorics
• Coxeter groups
• Artin groups
• +4 more

Theo Douvropoulos is an Assistant Professor at the Department of Mathematical Sciences, University of Texas at Dallas. He works on Algebraic Combinatorics with a focus on Coxeter groups, Artin groups, hyperplane arrangements, poset homology, Hurwitz numbers, and Frobenius manifolds. His research bridges algebraic structures with geometric and topological phenomena. University of Texas at Dallas University of Massachusetts at Amherst (former) Brandeis University (former) University of Minnesota (PhD) His work includes generalizing Hurwitz numbers to reflection groups, studying deformations of restricted reflection arrangements, and exploring connections between W-parking spaces and noncrossing partitions. Recent projects involve spectral analysis of the W-Laplacian and its applications in Coxeter-Catalan combinatorics. Publications span topics like Lyashko-Looijenga morphisms, cyclic sieving phenomena, and matrix tree theorems for reflection groups, demonstrating interdisciplinary applications across algebra, geometry, and topology.

• Bioinformatics
• Biostatistics
• Infectious Diseases
• +6 more

Yong Kong is a Senior Research Scientist in the Department of Biostatistics at the Yale School of Public Health , affiliated with the W.M. Keck Foundation Biotechnology Laboratory and the NIDA Neuroproteomics Center . His research bridges computational biology, infectious disease modeling, and genomic data science with applications to public health. PhD in Computational Biology (Washington University School of Medicine, 1997) BA in Biomedical Engineering/Computer Science (Tsinghua University) MS in Neurobiology (Shanghai Institute of Physiology, Chinese Academy of Sciences) Research Interests: Host-pathogen interaction profiling using multidimensional data Microbiome dynamics in respiratory and gastrointestinal infections Statistical methods for genomic sequence analysis Computational modeling of inflammatory and immune response pathways Public health applications of combinatorics and run statistics Recent Publication Trends: Focus on bat virus immune evasion mechanisms, multivariate run statistics, and microbiome-resistome interactions across veterinary and human health contexts. Collaborates extensively with immunologists (A. Iwasaki, M. Pettigrew) and infectious disease specialists. Labs & Collaborations: Core member of the Keck Biotechnology Laboratory at Yale, contributing to bioinformatics infrastructure and interdisciplinary research initiatives.

Alain HertzView profile

Professor

• Operations Research
• Management Science
• Combinatorial Optimization
• +6 more

Alain Hertz is a Full Professor in the Department of Mathematics and Industrial Engineering at Polytechnique Montréal. He is affiliated with two major research centers: Institut de valorisation des données (IVADO) and Groupe d'études et de recherche en analyse des décisions (GERAD). His expertise spans operations research, management science, and algorithm development with applications across multiple industries. Professor Hertz specializes in combinatorial optimization, graph theory, algorithms, heuristics and metaheuristics. His research bridges theoretical mathematics with practical applications in scheduling, vehicle routing, and decision support systems. Recent work explores graph-based approaches for recommender systems and chemical graph theory, demonstrating the versatility of his mathematical frameworks. His publication record shows consistent output across top journals in operations research and graph theory. Recent articles (2021-2025) focus on extremal graph theory, chemical graphs, graph coloring variants, and applications of graph theory to recommender systems. This demonstrates both theoretical depth and practical relevance in his research trajectory. Prix de la ministre de l'Éducation, du Loisir et du Sport - Gouvernement du Québec (2011) Professor Hertz has supervised 13 doctoral students and 18 master's students, with thesis topics ranging from optimization methods for semi-supervised clustering to wind farm network design. His supervision approach emphasizes both theoretical foundations and practical applications, preparing students for careers in both academia and industry. His research has been supported by various grants enabling collaborative work with international partners. Through his affiliations with IVADO and GERAD, Professor Hertz contributes to interdisciplinary research initiatives that connect mathematical theory with real-world problems in data science, artificial intelligence, and industrial engineering.

Olivier MarchalView profile

Professor

• Mathematical Physics
• Geometry
• Integrable Systems
• +10 more

Olivier Marchal is a Mathematics Professor at the University of Saint-Étienne and a researcher at the Institut Camille Jordan. His work bridges Mathematical Physics, Geometry, Integrable Systems, and Probability Theory. Research Focus: Specializes in Random Matrix Theory using Topological Recursion, with applications in enumerative geometry, combinatorics, Toeplitz determinants, and integrable differential systems. Also explores β-ensembles, sub-Gaussianity properties, and data analysis for applied sciences (medicine, biology). Awards: Institut Universitaire de France (IUF) membership since Sept. 2022 Authorship: Authored 4 textbooks on statistics and probability. Contact: olivier.marchal@univ-st-etienne.fr

Emil Petkov KamenovView profile

Assistant Professor

• Probability
• Operations Research
• Statistics
• +3 more

Emil Petkov Kamenov serves as an Assistant Professor in the Department of Probability, Operations Research and Statistics at the Faculty of Mathematics and Informatics, Sofia University 'St. Kliment Ohridski', where he maintains an office in room FMI-510 and can be contacted via phone at +359 2 8161-543. His research program centers on combinatorial probability and number-theoretic structures, with deep specialization in integer partition theory, plane partitions, and asymptotic enumeration methods. Dr. Kamenov investigates probabilistic behaviors of partition components, structural properties of random partitions, and asymptotic distributions in discrete combinatorial systems, bridging theoretical probability with analytic number theory. Analysis of his publications reveals a consistent focus on asymptotic methodologies applied to partition combinatorics, particularly examining large distinct parts in random integer partitions (2001) and enumeration of plane partitions through asymptotic formulas (2006). These works demonstrate rigorous application of analytic combinatorics to solve complex enumeration problems in discrete mathematics. While no scientific awards or student advisement records appear in the source material, his scholarly contributions reflect sustained engagement with fundamental problems in combinatorial mathematics through collaborative research, as evidenced by his co-authored publication with L. Mutafchiev.

T. Kyle PetersenView profile

Professor

• Combinatorics
• Enumerative Combinatorics
• Algebraic Combinatorics
• +1 more

T. Kyle Petersen is Professor and Chair of the Department of Mathematical Sciences at DePaul University's College of Science and Health, where he serves as a full-time faculty member specializing in combinatorics research and education. Education history: AB, Washington University in St. Louis PhD, Brandeis University (2006), supervised by Ira Gessel Research focuses on core and specialized areas of combinatorics: Enumerative Combinatorics : Counting methods and sequence analysis Algebraic Combinatorics : Algebraic structures in discrete mathematics Topological Combinatorics : Geometric and topological approaches Recent publications (2019-2021) demonstrate broad engagement with combinatorial theory and applications—including permutation studies (Sós Permutations), probabilistic card shuffling models, geometric puzzle theory, Coxeter group analysis, and inquiry-based learning frameworks. This work consistently bridges theoretical foundations with educational innovation. Beyond research, Dr. Petersen actively contributes to pedagogical advancement through the Academy of Inquiry-Based Learning, promoting student-centered mathematics education.

Vasilisa ShramchenkoView profile

Professor

• Algebraic Geometry
• Mathematical Physics
• Integrable Systems
• +4 more

Vasilisa Shramchenko serves as Full Professor and Associate Director of Graduate Studies and Research in the Department of Mathematics at the University of Sherbrooke. Her work bridges advanced algebraic geometry with mathematical physics, focusing on structural frameworks governing complex systems. Educational background: Master of Science in Mathematics, St. Petersburg State University (2000) Ph.D. in Mathematics, Concordia University (2005) Her research program integrates Frobenius manifolds, integrable systems, and Riemann surface theory through the lens of isomonodromic deformations and Riemann-Hilbert problems. Key contributions include foundational work on Hurwitz spaces, Painlevé equations, and Eynard-Orantin topological recursion, revealing deep connections between algebraic curves, moduli spaces, and differential equations. This interdisciplinary approach extends to combinatorial enumeration and quantum field theory applications. Publication trends indicate sustained focus on algebro-geometric methods for solving nonlinear systems, with recent work emphasizing cluster algebras and superelliptic curve structures. Her output consistently appears in high-impact journals spanning mathematical physics and pure mathematics. Scientific recognition: No awards explicitly documented in source material Administrative leadership in graduate studies complements her research role, though specific grant funding or advisee information remains unreported. She actively contributes to the Algebraic and Geometric Structures Research Team and the Sherbrooke Mathematics Circle, fostering collaborative exploration of mathematical frontiers.

• Combinatorics
• Algebra
• Mathematics Education
• +2 more

Theresia Eisenkölbl serves as a Lecturer in the Department of Mathematics at the University of Vienna, teaching core undergraduate courses including Analysis and Linear Algebra 1 , Linear Algebra for Advanced Students , and specialized offerings like Topics in Combinatorics and The Art of Problem Solving . She also supervises Bachelor’s and Master’s seminars focused on secondary mathematics enrichment. Her research spans: Combinatorics : Exploring structural and enumerative problems Algebra : Emphasizing linear algebra applications Mathematics Education : Developing curricula for secondary school enrichment Problem-Solving Pedagogy : Cultivating analytical skills across educational levels Her work bridges theoretical mathematics with practical classroom strategies, particularly through seminar-based enrichment programs. Dr. Eisenkölbl maintains active teaching responsibilities across multiple academic terms (including 2025W/2025S), with her research profile registered in u:cris. She is based in Room 11.138 at Oskar-Morgenstern-Platz 1, Vienna, and engages directly with students through tutorials and advanced coursework.

Emily OlsonView profile

Associate Professor

• Combinatorics
• Graph Theory
• Discrete Mathematics

Emily Olson serves as an Associate Professor and Quantitative Reasoning Coordinator in the School of Mathematics & Computational Sciences at Millikin University. She earned her doctorate from Michigan State University, specializing in enumerative combinatorics. Her primary research interests include: Combinatorics, with a focus on enumerative methods Graph Theory and its applications Discrete Mathematics in educational contexts Dr. Olson actively contributes to the academic community as the Section NExT coordinator for the Illinois Section of the Mathematical Association of America, fostering professional development for new faculty. She also leads the Quantitative Reasoning initiative at Millikin, integrating quantitative skills across the undergraduate curriculum.

Frederick ButlerView profile

Professor

• Combinatorics
• Rook Theory
• Permutation Statistics
• +1 more

Frederick Butler serves as Professor and Chair of the Mathematics and Applied Sciences Department at York College of Pennsylvania's Kinsley School of Engineering, Sciences and Technology, teaching courses including Differential Equations, Graph Theory, and Modern Algebra sequences. His academic credentials include: Ph.D. in Mathematics, University of Pennsylvania M.A. in Mathematics, University of Pennsylvania B.A. in Mathematics, McDaniel College Dr. Butler's research program bridges combinatorial mathematics and mathematics education . His combinatorial work explores rook theory and permutation statistics through algebraic and enumerative methods, investigating symmetry properties and statistical distributions. In education research, he examines technology-enhanced learning environments for liberal arts mathematics through empirical classroom studies. Publication trends from 2004-2022 reveal sustained contributions to combinatorial structures (particularly hit numbers and permutation triples) alongside pedagogical innovations in mathematics instruction. His dual focus demonstrates how theoretical combinatorics informs educational practice through structured analytical frameworks. Dr. Butler actively mentors students as Faculty Advisor for the Math Club and contributes to departmental leadership through his chair position, maintaining engagement with both theoretical research and undergraduate education.