Nancy Abdallah is a Lecturer at the Department of Algebra and Geometry within the University of Gothenburg . Her research focuses on combinatorics and commutative algebra, contributing to foundational areas in algebra and geometry. She can be reached at nancy.abdallah@gu.se . Additional information may be found on her Chalmers website linked below.
Yufei Zhao is an Associate Professor of Mathematics at the Massachusetts Institute of Technology (MIT). His research focuses on extremal, probabilistic, and additive combinatorics, with applications to graph theory, discrete geometry, and computer science. Dr. Zhao received his S.B. in Mathematics and Computer Science and Engineering from MIT in 2010, followed by an M.A.St. in Mathematics with Distinction from Cambridge University in 2011. He completed his Ph.D. in Mathematics at MIT in 2015 under the supervision of Jacob Fox. His research interests span a broad range of combinatorial mathematics, with particular emphasis on the interplay between structure and randomness. Dr. Zhao has made significant contributions to extremal graph theory, additive combinatorics, and the theory of pseudorandom graphs. His work often connects different areas of mathematics through innovative applications of combinatorial methods. Dr. Zhao's publications demonstrate a consistent focus on fundamental problems in combinatorics, with recent work exploring equiangular lines, spherical codes, extremal set theory, and the connections between graph theory and additive combinatorics. His research has been recognized with prestigious awards including the Fulkerson Prize (2024), NSF CAREER award (2021), Sloan Research Fellowship (2019), and Dénes König Prize (2018). Fulkerson Prize (2024) NSF CAREER award (2021) Sloan Research Fellowship (2019) Dénes König Prize (2018) Dr. Zhao actively mentors students, currently advising Travis Dillon, Dingding Dong, and Nitya Mani. His former PhD students include Benjamin Gunby, Jonathan Tidor, Aaron Berger, Ashwin Sah, and Mehtaab Sawhney. He has also authored the influential textbook "Graph Theory and Additive Combinatorics: Exploring Structure and Randomness" (Cambridge University Press, 2023), which has received high praise from leading mathematicians including Terry Tao and Ben Green.
Jonathan Leake is an Assistant Professor in the Department of Combinatorics and Optimization at the University of Waterloo . His research focuses on log-concave polynomials and their applications in combinatorics and computer science. Education: PhD in Mathematics, UC Berkeley (2014-2019) MS in Mathematics, Texas A&M University (2010-2012) BS in Computer Engineering and Applied Math, Texas A&M University (2006-2010) Research Interests: His work centers around log-concave polynomials and their connections to combinatorics, optimization, and computer science. Key areas include: Lorentzian polynomials and their applications Polynomial capacity and optimization Sampling algorithms and combinatorial structures Representation theory and algebraic combinatorics Scientific Awards: Dirichlet Postdoctoral Fellowship (TU Berlin, 2020-2022) James H. Simons Fellowship (Simons Institute, UC Berkeley, Spring 2019) Previous Positions: Postdoc Fellowship, Institut Mittag-Leffler, Stockholm (Spring 2020) Postdoc, KTH, Stockholm (Fall 2019) Developer, Teacher Retirement System of Texas (2012-2014)
Shahla Ahdout is an Associate Professor of Mathematics in the Department of Mathematics within the College of Liberal Arts and Sciences at Long Island University (LIU Post). She earned her B.S. from Arya-Mehr University and completed her Ph.D. in Mathematics at the Massachusetts Institute of Technology (MIT). She has held prestigious research positions at the Institute for Advanced Study in Princeton and the Mathematical Sciences Research Institute (MSRI) in Berkeley, and served as an Assistant Professor at UC Berkeley prior to joining LIU in 1985. Research Interests: Her primary research lies in the fields of Analysis and Geometry , with a focus on geometric analysis, spectral theory, and dynamical systems. She investigates topics such as Lagrangian manifolds, geodesic flows, convex planar regions, and spectral invariants, often bridging pure mathematics with deep structural insights from differential and symplectic geometry. The publications indicate a strong trend toward geometric and spectral analysis, particularly in the study of convex domains and their spectral properties, as well as algebraic-topological structures in transformation groups and dynamical systems. Her work frequently appears in respected mathematical journals, reflecting sustained scholarly contribution in pure mathematics. Academic Background: B.S., Arya-Mehr University Ph.D., Massachusetts Institute of Technology (MIT) Research Appointments: Research Fellow, Institute for Advanced Study, Princeton, NJ Researcher, Mathematical Sciences Research Institute (MSRI), Berkeley, CA Assistant Professor, University of California, Berkeley Advising and Grants: While no specific students or grant awards are listed in the provided text, her long-standing position and publication record suggest active involvement in academic mentoring and research supervision. There is no mention of external funding, but her affiliations with elite institutions imply prior competitive research support. Laboratories and Research Teams: No specific labs or research teams are mentioned in the available information. However, her collaborative publications suggest participation in mathematical research networks and interdisciplinary academic environments.
Pierre Bienvenu is a Research Scientist at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), part of the Austrian Academy of Sciences, since June 2025. Previously, he held postdoctoral positions at the Technische Universität Graz (2021-2022), the Max Planck Institute for Mathematics in Bonn (2020-2021), and the Institut Camille Jordan in Lyon/St-Etienne (2018-2020). He also served as a Teaching Fellow at Trinity College Dublin (2022-2023) and as a Lecturer at the American University in Paris in Spring 2018. His educational background includes a PhD in Mathematics from the University of Bristol (2014-2018), supervised by Julia Wolf, with a thesis titled "Linear, bilinear and polynomial configurations in function fields and the primes." Bienvenu's research lies at the intersection of arithmetic combinatorics, number theory, and harmonic analysis. He employs analytic, combinatorial, probabilistic, and algebraic methods to study problems in additive combinatorics, such as configurations in prime numbers, sum-product estimates, and density of sumsets. His work has strong connections to ergodic theory and theoretical computer science, particularly in pseudorandomness and error-correcting codes. His recent publications, spanning from 2017 to 2025, focus on density constraints, intersective sets, power monoids, and transference principles in additive combinatorics. These works often involve deep applications of higher-order Fourier analysis and the Green-Tao method, addressing fundamental questions about the structure of sets of integers and primes. As a member of RICAM, Bienvenu contributes to the institute's research groups in computational mathematics and number theory, collaborating with an international network of mathematicians on cutting-edge problems in arithmetic combinatorics.
Zahed Siddique, Ph.D., is the Associate Dean for Research and Dick and Shirley O'Shields Professor in the School of Aerospace and Mechanical Engineering at the University of Oklahoma. He has previously served as the Director of AME at OU and is actively engaged in engineering design education, virtual prototyping, and additive manufacturing research. Ph.D., Mechanical Engineering, Georgia Institute of Technology (2000) M.S., Mechanical Engineering, Georgia Institute of Technology (1996) B.S., Mechanical Engineering, Georgia Institute of Technology (1994) Dr. Siddique's research focuses on developing tools to enhance engineering design education , Internet-based product design for collaborative environments, and design for product variety using graph grammars and combinatorics. His work extends to virtual prototyping , next-generation CAD systems, and design for sustainability , with recent emphasis on AI integration in additive manufacturing and defect detection. His recent publications highlight trends in additive manufacturing , machine learning applications for imbalanced data, and human factors in engineering education . Articles analyze digital twins, diffusion models, hydrogen fuel challenges, and neurocognitive impacts of environmental conditions on student performance. Scientific Awards Regents' Award for Superior Teaching (2008) Ralph R. Teetor Educational Award (2007) Brandon H. Griffith Award (2007) Junior Faculty Research Award (2001) Dr. Siddique has taught courses such as Design Practicum , Design for X , and Product Family Design . He leads the Product and Process Design Lab , fostering innovation in engineering education through 3D printing and advanced materials.
Karen Gunderson is an Associate Professor in the Department of Mathematics at the University of Manitoba's Faculty of Science. Her research spans graph theory, combinatorics, random graphs, percolation, hypergraphs, and extremal combinatorics. Research Focus : Graph theory, combinatorics, random graphs, percolation, hypergraphs, extremal combinatorics Academic Role : Associate Professor, Acting Associate Head Graduate Contact : Karen.Gunderson@umanitoba.ca , karen.gunderson@umanitoba.ca Her work includes bootstrap percolation , random geometric graphs , and extremal hypergraph problems , with applications in network modeling and probabilistic combinatorics. Recent publications focus on adversarial burning densities, Erdos-Ko-Rado robustness, and Turán numbers in switching contexts. Academic Leadership : Co-organizer of the University of Manitoba Combinatorics Seminar and key organizer for the 2023 CanaDAM conference and Movement & Symmetry in Graphs retreat.
Zhivko Hristov Petrov serves as an Assistant Professor at the Faculty of Mathematics and Informatics, Sofia University St. Kliment Ohridski, specializing in mathematical research with emphasis on number-theoretic problems. Research Profile: Primary disciplines: Mathematical Analysis and Number Theory Specialized focus: Prime number representations, Diophantine equations with fractional exponents, and additive combinatorics involving primes His publication activity demonstrates concentrated expertise in analytic methods for solving equations with prime variables. The 2016 work on fractional powers with prime and almost-prime components represents his signature contribution to additive number theory, examining solvability conditions through advanced analytic techniques. Contact Information: Email: zhpetrov@fmi.uni-sofia.bg Phone: +359 2 8161 531 Office: Room FzF-21
Lecturer in Mathematics at Lancaster University, Sean Prendiville specializes in additive combinatorics and analytic number theory. His work bridges discrete Fourier analysis with problems in Ramsey theory and partition regularity. Institution: Lancaster University Academic Rank: Lecturer Research Interests: Additive combinatorics Analytic number theory Fourier analysis in number theory Nonlinear Diophantine equations Partition regularity Arithmetic Ramsey theory Publication Trends: Recent works (2024-2023) focus on quantitative bounds for nonlinear Roth-type configurations, multidimensional extensions, and Fourier uniformity in Sidon sets. Earlier contributions span polynomial Szemerédi theorems, matrix progressions, and mean value estimates in Weyl sums. Academic Activities: Co-organizer of the Webinar in Additive Combinatorics during the pandemic, editorial board member of the Proceedings of the Royal Society of Edinburgh Section A: Mathematics , and contributor to lecture notes on Fourier analysis in combinatorics and Ramsey theory.
Dr. Dirk Zeindler is a Senior Lecturer in the School of Mathematical Sciences at Lancaster University , focusing on Pure Mathematics. His research spans diverse areas including Probability, Random Matrix Theory, Number Theory, Representation Theory, Function Theory, and Combinatorics. Current projects explore connections between permutations with random cycle weights and Bose-Einstein condensation. He actively supervises PhD students, including Jack Ye (h.ye7@lancaster.ac.uk). His recent publication in 2025, 'Strange and pseudo-differentiable functions with applications to prime partitions,' reflects his work at the intersection of Number Theory and Combinatorics. Contact details: Office B39a, B-Floor, Fylde College; Email: d.zeindler@lancaster.ac.uk .
Wai Kiu Chan is a Professor of Mathematics at Wesleyan University , specializing in the Department of Mathematics and Computer Science . His research lies at the intersection of number theory, quadratic forms, and algebraic structures. Arithmetic theory of quadratic forms Algebraic groups and their representations Lattices in Euclidean spaces Modular forms and spinor theory Dr. Chan's recent work focuses on equivalence problems, representation theorems, and finiteness results for quadratic forms over number fields. His publications reveal a strong emphasis on both theoretical and computational aspects of Diophantine representations.
Professor Gabor Elek is affiliated with Lancaster University , serving as a Professor of Pure Mathematics in the School of Mathematical Sciences . His research focuses on Graph limits and Topological dynamics , with additional interests in Algebra , Geometry , and Combinatorics . He is associated with the research project LIMITS: Limits of Structures in Algebra and Combinatorics , active from February 1, 2019, to January 31, 2024. His recent work includes the article Strong almost finiteness (2025) in the Journal of Functional Analysis , which explores intersections between functional analysis, graph theory, and dynamical systems. Contact: g.elek@lancaster.ac.uk
Michel Goemans is the RSA Professor and Head of the Department of Mathematics at the Massachusetts Institute of Technology (MIT), with additional affiliations at MIT CSAIL and MIT ORC. Previously, he held the Leighton Family Professorship (2007-2017) and adjunct/visiting positions at the University of Waterloo, University of Louvain, and RIMS Kyoto. His research focuses on combinatorial optimization , discrete algorithms , and approximation methods , with applications spanning network design, stochastic optimization, and algorithmic game theory. His publications consistently explore fundamental problems in mathematical programming and theoretical computer science. Notable awards include: Leroy P. Steele Prize (2022) George B. Dantzig Prize (2021) Farkas Prize (2012) Fellowships: AMS, ACM, SIAM, Guggenheim, Sloan Foundation Doctor Honoris Causa (Université catholique de Louvain) He advises doctoral candidates and postdocs, with prominent former students including David Williamson (Cornell), Jon Kleinberg (Cornell), and Aleksander Madry (MIT). Research is primarily funded by NSF and ONR grants.
Anne De Roton is a Lecturer at the Faculty of Science and Technology, University of Lorraine, specializing in Analytic Number Theory and Additive Combinatorics. Her research explores connections between additive structures of integers/real numbers, Fourier analysis, Freiman-type inverse theorems, and the distribution of zeros of L functions linked to functional analysis. Contact: anne.de-roton@univ-lorraine.fr Office: 209, Campus, Boulevard des Aiguillettes, Vandœuvre-lès-Nancy
Spencer Backman is an Associate Professor in the Department of Mathematics and Statistics at the University of Vermont, within the College of Engineering and Mathematical Sciences. His research focuses on algebraic and geometric combinatorics, with applications to matroid theory, graph theory, tropical geometry, and nonarchimedean geometry. Ph.D. in Algorithms, Combinatorics, and Optimization from Georgia Institute of Technology (2014) B.A. in Mathematics from Oberlin College (2007) Spencer’s work explores combinatorial structures through algebraic and geometric lenses, including tropical geometry, matroid base polytopes, and chip-firing games. His recent publications address generalized Dyck paths, convex building sets, and higher categorical associahedra. He has participated in international programs such as the Emory-Tibet Science Initiative and conducted postdoctoral research across South Korea, Italy, Germany, and Israel. Additional interests include connections between tropical geometry and classical algebraic geometry.