Mark D. Haiman is a Professor at the University of California, Berkeley, Department of Mathematics, with research interests spanning algebra, combinatorics, and algebraic geometry. His work connects symmetric function theory with geometric objects like Hilbert schemes and algebraic structures such as Cherednik algebras and Hecke algebras. Appointed: 2001 Contact: mhaiman@math.berkeley.edu Teaching: Math 256B—Algebraic Geometry (Spring 2025), Math 249—Algebraic Combinatorics (Spring 2024), and others in calculus and Lie groups. Research Interests : Haiman's research focuses on Macdonald polynomials, LLT polynomials, Hilbert schemes of points in the plane, and their combinatorial and geometric implications. His work includes resolving the Macdonald positivity conjecture and the n! conjecture through algebraic geometry. Publications : Haiman has contributed to foundational papers in combinatorial and algebraic structures, including generalizations of the shuffle theorem and positivity results for LLT polynomials. His articles often bridge representation theory, symmetric functions, and geometric methods. Students : He has supervised numerous PhD students, including Magda Hlavacek (2023), Foster Tom (2022), Jeremy Meza (2021), Maryam Farahmand-Asil (2018), Maria Monks Gillespie (2016), and others working on combinatorial algebraic geometry and related fields.
Jack Huizenga is an Associate Professor in the Department of Mathematics at The Pennsylvania State University. His research focuses on algebraic geometry, particularly Hilbert schemes of points, moduli spaces of vector bundles, and interpolation problems. He is a co-organizer of the Algebra and Number Theory Seminar at Penn State. Education: Ph.D., Harvard University (2012). He has designed courses introducing algebraic geometry through linear algebra and interpolation problems, such as Polynomial Interpolation: An Introduction to Algebraic Geometry . Research Interests: Algebraic Geometry, with a focus on Brill-Noether theory, moduli spaces, vector bundles on surfaces, and birational geometry. His work explores geometric structures like Hilbert schemes, projective plane blowups, and stability conditions of sheaves. Publications highlight advanced topics in algebraic geometry, including cohomology of vector bundles, Seshadri constants, and geometric interpolation problems. He has collaborated extensively with researchers like Izzet Coskun on foundational problems in moduli spaces and stability conditions. No scientific awards are explicitly listed in the provided information. His advising and grant activities are not detailed here, though he has authored lecture notes and exercises for specialized courses. He maintains a research website at https://sites.psu.edu/jhuizenga/ .
Laura Colmenarejo is an Assistant Professor in the Department of Mathematics at NC State University, part of the College of Sciences. She holds a PhD from the University of Sevilla (2016), a Master’s from Universidad Autónoma de Madrid (2011), and a Bachelor’s in Mathematics (2010). Her research focuses on algebraic combinatorics, symmetric functions, enumerative combinatorics, and representation theory of finite groups. She has advised multiple graduate and undergraduate students and has held previous positions at UMass Amherst, the Max Planck Institute in Leipzig, and York University. Her work spans topics like quantum cohomology, chromatic symmetric functions, and combinatorial structures such as posets and permutations. She co-organizes the Algebra and Combinatorics seminar at NC State and contributes to conferences like Triangle Lectures in Combinatorics. Her research emphasizes interactions between algebraic geometry, representation theory, and discrete mathematics. Advising: Camryn Thompson, Alex Steward, Ian Klein, Spencer Daugherty (graduate students), and Felix Hutchins, Etienne Phillips, Viviene Do (undergraduate researchers). Grants and funding details not explicitly mentioned. Labs/Teams: Part of the Algebra and Combinatorics Faculty Research Group at NC State.
Jim Haglund is Professor of Mathematics at the University of Pennsylvania, specializing in algebraic and enumerative combinatorics. His research explores symmetric functions, Macdonald polynomials, combinatorial statistics, rook theory, and polynomial root behavior. He directs the CAGE seminar and IPAC seminar series, fostering collaboration in combinatorics. Dr. Haglund's work connects combinatorics with representation theory and special functions, particularly through Macdonald polynomial operators and the Delta Conjecture. His research employs both theoretical frameworks and computational experimentation. Analysis of recent publications reveals consistent focus on combinatorial structures underlying symmetric functions, with innovations in delta operators, chromatic quasisymmetric functions, and rook theory generalizations. His work frequently bridges combinatorics with algebraic geometry and representation theory. Awards & Recognition: Fellow of the American Mathematical Society Editorial boards: Journal of Combinatorics and Involve Advising & Collaboration: Mentored 16 PhD students and numerous postdoctoral researchers. Leads combinatorial research group exploring connections between Macdonald theory, diagonal harmonics, and algebraic geometry.
F. Duncan M. Haldane is the Sherman Fairchild University Professor and Eugene Higgins Professor of Physics at Princeton University. He joined Princeton in 1990 and has held previous positions at institutions including the Institut Laue-Langevin in France and the University of California, San Diego. Ph.D. in Physics from Cambridge University (1978) B.A. from Cambridge University (1973) Haldane’s research focuses on strongly-interacting quantum many-body systems , particularly condensed-matter systems studied through non-perturbative methods. His work spans the fractional quantum Hall effect (FQHE) , quantum geometry, topological insulators, and Chern insulators. He has pioneered the study of entanglement spectra as a tool for identifying topological order and developed geometric descriptions of FQHE states using metric-tensor fields. His recent publications highlight advancements in understanding topological phases of matter , including implications for photonic crystals and flat-band systems. Key themes include quantum geometry, topological order, and collective modes in incompressible quantum fluids. Nobel Prize in Physics (2016) ICTP Dirac Medal (2012) Oliver E. Buckley Prize (1993) Alfred P. Sloan Fellowship (1984-1988) Simons Fellow in Theoretical Physics (2013-2014) Haldane has mentored notable researchers such as Hui Li and S. Raghu. His work has been supported by grants including those from the Simons Foundation. He has contributed to the development of the Moore Foundation-funded Emergent Phenomena in Quantum Systems (EPiQS) theory center at Princeton.
Olya Mandelshtam is an Assistant Professor in the Department of Combinatorics and Optimization at the University of Waterloo . Her research focuses on algebraic combinatorics, particularly symmetric and quasisymmetric functions, with connections to probability and interacting particle systems. Education: Ph.D. in Mathematics, University of California, Berkeley (2016), advised by Lauren Williams Presidential Postdoctoral Scholar at UCLA (2016–2017) Tamarkin Assistant Professor and NSF Postdoctoral Fellow, Brown University (2017–2021) Research Interests: Her work bridges algebraic structures (e.g., Macdonald polynomials, Koornwinder polynomials) and probabilistic models like the asymmetric simple exclusion process (ASEP) and zero-range processes (TAZRP). She explores combinatorial bijections, multiline queues, and integrable systems to study these connections. Recent Activities: She organizes the Combinatorics Seminar at Waterloo and participates in conferences such as ICERM workshops on Category Theory and Machine Learning, ICECA, and events on integrable systems in algebraic combinatorics. Advising: Current graduate students include Kartik Singh, Jerónimo Valencia Porras, Guilherme Zeus Dantas e Moura, and Harper Niergarth, with past advisee William Chan. Research collaborations include work on multiline queues, non-attacking fillings, and particle system dynamics.
Gabe Feinberg serves as Associate Professor and Co-Chair of the Department of Mathematics and Computer Science at Washington College. Education: Ph.D. in Mathematics, University of Connecticut, 2013 (Advisor: Kyu-Hwan Lee) M.S. in Mathematics, Drexel University, 2008 B.S. in Mathematics, Muhlenberg College, 2004 His research spans Algebra, Combinatorics, Graph Theory, and Geometry with applications in art, orbital mechanics, and social choice theory. Key interests include voting systems, symmetries in dance, elliptical orbit calculations, and connections between mathematics and visual art like Sol Lewitt's work. Dr. Feinberg has advised eight senior capstone projects: Nicole Noce: Symmetries and Dance Allison Hinshaw: Pascal's wager and subjective probability Peter Wu: Principal component analysis Kasim Li: Minimal distances between elliptical orbits Jack Nevins: Mathematics of incomplete cubes and Sol Lewitt's art Spencer Russell: Hook-length rule for Young tableaux Danielle Glenn: Integers and polynomial rings Elijah McGuire-Berk: Geometric voting methods
Cesar Cuenca is an Assistant Professor of Mathematics at The Ohio State University, within the Department of Mathematics, part of the College of Arts and Sciences. Previously, he was a Benjamin Peirce Fellow at Harvard University (2020–2023) and an Olga Taussky & John Todd Instructor at Caltech (2019–2020). He earned his PhD in Mathematics from MIT in 2019 under the supervision of Alexei Borodin. His research focuses on Probability Theory and Algebraic Combinatorics, with particular emphasis on random matrices, random partitions, symmetric functions, and asymptotic representation theory. His work bridges probability, combinatorics, and mathematical physics, exploring topics like Jack polynomials, integrable systems, and asymptotic analysis of random structures. His research is supported by an NSF grant (DMS-2348139, 2024–2027) and a Simons Foundation Travel Grant (MP-TSM-00006777, 2024–2029). His publications span theoretical developments in random matrix asymptotics, determinantal processes, and applications of symmetric function theory. Recent work includes studies on high-temperature particle systems, elliptic kernels, and deformation theories in representation spaces. Cuenca’s academic journey reflects a deep engagement with algebraic structures and probabilistic methods, with contributions to both foundational theory and interdisciplinary applications in mathematical physics.
Jack Doerner is an Assistant Professor of Computer Science at the University of Virginia. His research focuses on cryptography, particularly secure multi-party computation, threshold cryptography, and oblivious RAM (ORAM). Previously, he held postdoctoral positions at Brown University (hosted by Anna Lysyanskaya) and jointly at the Technion and Reichman University (hosted by Yuval Ishai and Elette Boyle). He completed his PhD at Northeastern University, advised by Abhi Shelat. His work spans foundational advancements in cryptographic protocols, including threshold ECDSA, modular analysis of broadcast protocols, and scalable ORAM solutions. Notable contributions include the first constant-round coin tossing extension with guaranteed output and efficient secure stable matching at scale. His research emphasizes practical efficiency and security in distributed systems. Doerner also engages in artistic endeavors, creating films, photography, and sculptures that explore perception and space. His art has been exhibited in galleries such as the Second Street Gallery in Charlottesville. Publications highlight contributions to secure computation frameworks, threshold signatures, and cryptographic protocols. His work addresses challenges in distributed systems, privacy-preserving algorithms, and foundational cryptographic assumptions.
John W. Milnor is a Professor of Mathematics at Stony Brook University and Co-Director of the Institute for Mathematical Sciences . He is renowned for his foundational work in Topology , Dynamical Systems , and Mathematical Physics . His research spans from early Differential Topology to recent studies in Complex and Real Dynamics . Co-Director, Institute for Mathematical Sciences Abel Prize Laureate Research focus: Cubic Maps, Mandelbrot Set, Julia Sets, Poincare Conjecture Recent Work includes publications on Group Actions , Real Cubic Dynamics , and Hyperbolic Components , as well as lectures on Topology and Rational Maps . Scientific Awards : Abel Prize (2011) Collaborative Projects : Co-authored works with Bonifant , Kiwi , and Buff . His email is jack@math.stonybrook.edu .
Nathan Lindzey is an Assistant Professor in the Department of Mathematical Sciences at the University of Memphis. His research focuses on algebraic combinatorics, graph theory, and discrete mathematics, with particular emphasis on extremal combinatorics, permutation patterns, and computational complexity. He has published extensively on topics such as intersecting families of spanning trees, derangement graphs, and applications of algebraic methods in combinatorial optimization. Dr. Lindzey's work bridges theoretical foundations and practical applications, including studies on association schemes, semidefinite optimization, and harmonic polynomials. His recent articles address challenges in graph theory, coding theory, and algorithm analysis, reflecting a commitment to advancing interdisciplinary approaches in discrete mathematics. His research trends highlight contributions to understanding extremal problems in combinatorics, leveraging algebraic tools and computational techniques. Though no awards are explicitly listed, his prolific publication record underscores his active role in the academic community. Dr. Lindzey advises no listed students and has no documented grants in the provided text. He is affiliated with the University of Memphis' Mathematical Sciences department, contributing to both teaching and research initiatives in the field.
Rutgers, The State University of New JerseyUnited States
Siddhartha Sahi is a distinguished Professor of Mathematics at Rutgers University, specializing in representation theory, harmonic analysis, and algebraic combinatorics. He holds a faculty appointment within the Department of Mathematics at Rutgers' School of Arts and Sciences. His research explores foundational questions in Lie theory, automorphic forms, and special functions, with notable contributions to the Capelli identity, Whittaker functionals, and non-symmetric Macdonald polynomials. His work bridges pure mathematics and interdisciplinary applications, including contributions to economic theory (e.g., strategic market games) and probability theory. Sahi's publications span over three decades, reflecting deep engagement with topics like invariant distributions, harmonic analysis on symmetric spaces, and algebraic combinatorics. He maintains an active research profile with collaborations in representation theory and number theory. Awards and recognitions include his title of Distinguished Professor at Rutgers. His research has been supported by grants from the National Science Foundation and Binational Science Foundation (BSF). Sahi advises graduate students and postdoctoral researchers, though specific advisee names are not listed in available records.
Professor Anatoly Zhigljavsky serves as Chair in Statistics and Honorary Professor at Cardiff University's School of Mathematics. He holds multiple administrative positions including membership in the Senior Management Committee, School Research Committee, School Management Board, School Learning and Teaching Committee, Board of Studies, and Subject panel. University: Cardiff University School: School of Mathematics Position: Chair in Statistics, Honorary Professor Professor Zhigljavsky earned his MSc from the University of St.Petersburg, Russia in 1976, followed by his PhD in 1981 and Habilitation in 1987, all from the same institution. His academic credentials reflect a strong foundation in mathematical statistics and theoretical probability. His research spans several interconnected domains in statistics and optimization. He is particularly renowned for his contributions to Time Series Analysis, where he has advanced Singular Spectrum Analysis (SSA) into a powerful technique for time series analysis, forecasting, and change-point detection. His work in Statistical Modelling in Market Research has resulted in numerous industry collaborations, while his research in Stochastic Global Optimization has provided theoretical insights into random search algorithms, especially in high-dimensional spaces. His investigations into Probabilistic Methods in Search and Number Theory have yielded novel approaches to discrete search problems including group testing with lies. Professor Zhigljavsky has also pioneered Dynamical system approaches for studying convergence of search algorithms, bridging continuous and discrete optimization methodologies. Analysis of Professor Zhigljavsky's recent publications (2021-2025) reveals an evolving research trajectory with increasing focus on high-dimensional statistical challenges, quantization theory, and the intersection of optimization with time series analysis. His work consistently demonstrates mathematical rigor combined with practical relevance, addressing computational challenges in large-scale data analysis. His collaborations span multiple institutions with researchers including Luc Pronzato, Jack Noonan, and Anatoly Pepelyshev. Scientific recognition includes: Constantin Caratheodory Prize in France (2019) Professor Zhigljavsky has secured substantial external funding including projects with Procter and Gamble on statistical modelling in Market Research (totaling approximately £200,000), projects with AcNielsen/BASES on consumer behaviour modeling (£40,000), and projects with GlaxoSmithKline on biopharmaceutical studies (£15,000) and environmental science (£10,000). His research has consistently demonstrated practical applications across multiple industries. As an active member of Cardiff University's Statistics research group, Centre for Optimisation and Its Applications, and Statistical Modelling Unit, Professor Zhigljavsky continues to influence both theoretical developments and practical applications in statistics and optimization.
James Haglund is a Professor of Mathematics at the University of Pennsylvania's School of Arts and Sciences, within the Department of Mathematics. He specializes in algebraic combinatorics, with a focus on symmetric functions, Macdonald polynomials, and experimental mathematics. His research integrates computational tools like Maple to explore conjectures in enumerative and algebraic combinatorics. He teaches advanced courses such as Math 4100 (Complex Analysis) and has advised numerous PhD and Master’s students, including Marino Romero, Per Alexandersson, and Andy Wilson. As a Fellow of the American Mathematical Society (AMS), his contributions to combinatorics have been recognized through prestigious awards and fellowships. Haglund co-organizes the IPAC seminar, focusing on cutting-edge papers in algebraic combinatorics. His work spans international collaborations, with presentations at conferences like FPSAC and workshops at institutions such as the Erwin Schrödinger Institute and the Institute for Advanced Study (IAS). Key contributions include books like The q,t-Catalan Numbers and the Space of Diagonal Harmonics and foundational papers on the Delta Conjecture, geometric interpretations of symmetric functions, and Jack polynomials. His advising and mentorship span postdoctoral researchers and students, with notable alumni holding academic and industry positions worldwide. Haglund’s research also intersects with algebraic geometry and number theory, reflecting his broad impact in mathematical sciences.
Jack Thomas is a postdoctoral researcher at the Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay, under the supervision of Antoine Levitt. He holds a PhD in Mathematics and Statistics from the University of Warwick (2018–2021), supervised by Christoph Ortner, for which he received the Faculty Thesis Prize 2022 (joint winner). His research focuses on the mathematical analysis of electronic structure models in materials science and quantum chemistry, with a particular emphasis on tight binding models and their applications in predicting material properties. Education: PhD in Mathematics and Statistics, University of Warwick (2018–2021) MSc in Mathematics and Statistics, University of Warwick (2017–2018) MMath in Mathematics, University of Warwick (2013–2017) Research Interests: Jack’s work bridges mathematical rigor and computational methods, addressing challenges in electronic structure analysis, including locality properties of interatomic interactions, body-ordered approximations, polynomial approximation of symmetric functions, and nearsightedness in materials. His contributions advance the theoretical foundations for multi-scale models and machine learning interatomic potentials. Awards & Contributions: Recipient of the Faculty Thesis Prize 2022 (Warwick) Organized the SPAAM student seminar series (2019/20) Active member of SIAM and IMA Teaching: Jack has extensive supervision experience at the University of Warwick, covering modules such as Mathematical Analysis, Linear Algebra, and Multivariable Calculus. He has also contributed to marking and course design for first-year mathematics students. Labs & Collaborations: He is affiliated with the Laboratoire de Mathématiques d'Orsay and collaborates with researchers such as Christoph Ortner (Warwick), Huajie Chen (Beijing Normal University), and Gábor Csányi (University of Cambridge).
