Yang P. Liu is an Assistant Professor at Carnegie Mellon University 's Department of Computer Science . He received his PhD from Stanford University under the supervision of Aaron Sidford and previously studied at MIT . Fields of Interest : Graph Algorithms, Optimization, High-Dimensional Geometry, Additive Combinatorics, Theoretical Computer Science. His research focuses on algorithmic design and analysis for graph problems, optimization, and combinatorics, with applications in machine learning and complexity theory. Recent work includes advancements in parallel repetition games , combinatorial lines , and dynamic graph algorithms . In 2024, his research spanned FOCS , STOC , and RANDOM conferences, addressing problems in k-CSPs , min-cost flow , and hypergraph sparsification . Earlier contributions (2023) included deterministic flow algorithms and spectral hypergraph techniques. Scientific Awards : NDSEG Fellowship (2018-2021), Google PhD Fellowship (2022-2023), FOCS Best Paper (2022), STOC Best Student Paper (2022), FOCS Best Student Paper (2021). He teaches CS 15-759 , a graduate course on convex optimization theory and applications, covering gradient descent, interior point methods, and algorithmic sparsification techniques.
Jacob Fox is a Professor at Stanford University, specializing in Combinatorics and Probability. His research focuses on extremal combinatorics, Ramsey theory, graph theory, and additive combinatorics. He advises students like Maya Sankar. His work explores structural and enumerative aspects of graphs, hypergraphs, and combinatorial configurations. Recent studies include advancements in Ramsey numbers, sumset theory, and probabilistic methods in discrete mathematics. Key research areas include Ramsey numbers for sparse structures, hypergraph properties, and applications of combinatorial geometry. His publications often bridge theoretical insights with algorithmic applications. No scientific awards are listed in the provided text. His advising includes Maya Sankar, with research aligned to combinatorial problems. Collaborative projects involve extremal graph theory and probabilistic combinatorics. No labs or dedicated research groups are explicitly mentioned.
Liping Liu is a Professor in the Department of Management at The University of Akron's College of Business. He holds a Ph.D. in Business from the University of Kansas (1995), Master of Engineering in Systems Engineering (1991), and dual bachelor's degrees in Applied Mathematics (1986) and River Dynamics (1987). Ph.D., University of Kansas MS, Huazhong University of Science and Technology B.E., Wuhan University BS, Huazhong University of Science and Technology His research spans Artificial Intelligence , Electronic Business , Systems Analysis , Data Quality , and Belief Function Theory . He pioneered coarse utility theory and linear belief functions , now taught in top Ph.D. programs across multiple disciplines. Key trends in his publications include Belief Function Applications (2012-2024), Medical Data Systems (2003-2015), and Decision Theory (2004-2014). Recent works focus on Gamma Belief Functions (2024) and computational improvements in linear belief function operations (2019-2016). Scientific contributions recognized via: Microsoft Azure Educator Grant (2014-2016) Inclusion in Who's Who in America (2010-2013) and Who's Who in the World (2011-2013) As an editor and committee member for major conferences (INFORMS, AMCIS, Belief Functions conferences), he bridges academic research with practical systems implementation in e-business and healthcare domains.
James Maynard is a Professor of Number Theory at the University of Oxford , holding a Title IV Professorship equivalent to a UK chair or US full professor. He has held prestigious positions including Membership at the Institute for Advanced Study (Princeton, 2017), Research Membership at MSRI (Berkeley, 2017), and a Clay Research Fellowship (2015-2018). His research focuses on analytic number theory , particularly prime numbers and sieve methods , with groundbreaking work on prime gaps and Diophantine approximation. EDUCATION DPhil in Mathematics (2009-2013), Balliol College, Oxford Part III Mathematics (2008-2009), Queens’ College, Cambridge BA Mathematics (2005-2008), Queens’ College, Cambridge Maynard’s research explores the structure of prime numbers, including prime distribution , digital properties of primes , and norm form representations . His work has revolutionized understanding of bounded prime gaps and extremal prime spacing using advanced sieve techniques and probabilistic methods. Maynard’s publications (15 most recent) span analytic number theory , prime distribution , and Diophantine approximation . Key subfields include Bounded Gaps Between Primes , Digital Restrictions in Primes , Probabilistic Methods in Number Theory , and Algorithmic Sieve Optimization . Scientific Awards Fields Medal (2022) Cole Prize in Number Theory (2020) ERC Starting Grant (€1.5m, 2020-2025) Compositio Prize (2019) Wolfson Merit Award (2017) EMS Prize (2016) Erdős $10,000 Problem Prize (2016) Clay Research Fellowship (2015-2018) Whitehead Prize (2015) Ramanujan Prize (2014) Maynard has advised no explicitly named students but collaborates extensively in number theory. His grants include the ERC Starting Grant (2020-2025) and Wolfson Merit Award (2018-2023) . He has contributed to collaborative projects like the Polymath group and served as a Summer Consultant at GCHQ/Heilbronn Institute (2008-2012).
Professor Imre Leader is a distinguished mathematician at the University of Cambridge, where he serves as Professor of Pure Mathematics in the Department of Pure Mathematics and Mathematical Statistics (DPMMS), which is part of the Faculty of Mathematics. His office is located in room C2.02 at the DPMMS building. Professor Leader's research primarily focuses on Extremal Combinatorics and Ramsey Theory , two fundamental areas of discrete mathematics. His work explores deep connections between combinatorial structures, set theory, and algebraic properties. He has made significant contributions to understanding partition regularity, monochromatic structures, extremal set theory, and combinatorial geometry. His research often bridges the gap between pure combinatorics and applications in computer science and theoretical mathematics. Over his prolific career, Professor Leader has published numerous influential papers in top mathematical journals, collaborating with leading mathematicians worldwide. His work spans various aspects of combinatorics including hypergraph theory, geometric combinatorics, additive number theory, and combinatorial game theory. He has been particularly active in advancing our understanding of Ramsey-type phenomena in infinite structures and developing new techniques in extremal combinatorics. Research Group: Combinatorics Email: I.Leader@dpmms.cam.ac.uk Telephone: 01223 765902 Personal homepage: https://www.dpmms.cam.ac.uk/~ibl10
Paolo Gardoni is the Alfredo H. Ang Family Professor and an Excellence Faculty Scholar in the Department of Civil and Environmental Engineering at the University of Illinois Urbana-Champaign, with additional professorial appointments in Industrial & Enterprise Systems Engineering and Biomedical & Translational Sciences. He also serves as Director of the MAE Center and Editor-in-Chief of Reliability Engineering & System Safety. Education Ph.D. in Civil Engineering, University of California, Berkeley (2002) M.A. in Statistics, University of California, Berkeley (2001) M.Eng. in Structural Engineering, University of Tokyo (1997) Laurea (BS+MS equivalent) in Structural Engineering, Politecnico di Milano (1997) Research Interests Gardoni’s scholarship integrates probabilistic methods with large-scale infrastructure systems to advance reliability, risk, and life-cycle analysis. His work quantifies the performance of deteriorating systems under natural and anthropogenic hazards, models societal impacts of disasters, and develops decision frameworks for sustainable and resilient infrastructure. He also examines ethical, social, and legal dimensions of risk, and investigates optimal strategies for hazard mitigation, disaster recovery, and climate adaptation. Across more than 250 refereed journal papers, he has advanced sub-fields ranging from probabilistic mechanics and earthquake engineering to catastrophe bond pricing and engineering ethics, leveraging tools such as stochastic differential equations, Bayesian networks, and physics-informed machine learning. Awards & Honors Alfredo Ang Award on Risk Analysis and Management of Civil Infrastructure (ASCE, 2021) Best Paper Awards in ASCE Journal of Sustainable Water in the Built Environment (2019) and Geotechnical Research (2018 Telford Premium Prize) Fellowships and named professorships: Alfredo H. Ang Family Professor, Excellence Faculty Scholar, and courtesy or honorary professorships at Tsinghua, IIT Guwahati, Tongji, Jianghan, and Loughborough universities. Research Leadership & Funding Gardoni has secured over $58 million in research funding from NSF, DHS, NIST, USAID, Qatar National Research Fund, and other agencies. He directs the MAE Center—formerly an NSF Engineering Research Center—focused on multi-hazard engineering approaches, and is Editor-in-Chief of Reliability Engineering & System Safety (Elsevier, IF 9.4). He founded and formerly led the journal Sustainable and Resilient Infrastructure (Taylor & Francis) and serves on editorial boards of nine additional journals. Advising & Mentorship He has graduated 27 PhD and 35 Master’s students, many of whom now hold faculty positions worldwide. His group maintains an active pipeline of doctoral and post-doctoral researchers working on resilience analytics, infrastructure monitoring, and risk-informed decision-making. Laboratories & Collaborations He leads the MAE Center and is affiliated with the Critical Infrastructure Resilience Institute (CIRI) and the Biomedical and Translational Sciences group. International collaborations span the UK (Loughborough), India (IIT Guwahati), and China (Tsinghua, Tongji, Jianghan), fostering cross-disciplinary research in reliability and resilience engineering.
Nicole Wein is an Assistant Professor in the Computer Science and Engineering Division of the Department of Electrical Engineering and Computer Science (EECS) at the University of Michigan, College of Engineering. Her research lies in theoretical computer science, focusing on graph algorithms, dynamic algorithms, parameterized algorithms, distributed algorithms, online algorithms, and fine-grained complexity. She is part of the Theory of Computation Lab and advises both PhD and undergraduate researchers. PhD, Massachusetts Institute of Technology (MIT), advised by Virginia Vassilevska Williams Postdoctoral Fellow, DIMACS Research Fellow, Simons Institute, UC Berkeley MS, Stanford University BS, Computer Science/Math, Harvey Mudd College Her research explores fundamental algorithmic questions in combinatorial settings, particularly how algorithms handle dynamic data, extract information efficiently (e.g., in linear time), and understand shortest path structures in graphs—especially directed ones. She investigates problems in distance estimation, spanners, hopsets, dynamic graph algorithms, and hardness of approximation. Her work combines theoretical depth with practical implications for algorithm design. The recent publications reflect a strong trend in fine-grained complexity and graph algorithm design, with a focus on proving tight bounds, developing efficient approximations, and understanding structural limitations in directed and dynamic graphs. Her work frequently appears in top venues such as STOC, FOCS, SODA, and ICALP, often in collaboration with leading researchers in the field. Scientific Awards and Recognition: Invited to special issue of SIAM Journal on Computing (SICOMP) (FOCS 2022 paper) Invited to Highlights of Algorithms (HALG) (FOCS 2022 paper) Invited to minisymposium at CANADAM (ESA 2022 paper) Work featured in Quanta Magazine Nicole Wein actively mentors students, including current PhD student Jubayer Nirjhor and former undergraduate researchers like Sam Hiken (now pre-doc at MIT). She has served on program committees for major conferences including SODA, FOCS, ICALP, and ITCS, and co-organized the DIMACS workshop on Modern Techniques in Graph Algorithms (2023). She also contributes to the academic community through outreach, such as her article offering reassurance to early-stage PhD students in theoretical computer science. She leads and participates in collaborative research groups and workshops, emphasizing supercollaboration and interdisciplinary communication in algorithms. Her lab fosters a strong research environment in theoretical computer science at the University of Michigan.
David Jao is a Professor in the Department of Combinatorics and Optimization at the University of Waterloo. His research focuses on post-quantum cryptography, particularly leveraging isogenies of supersingular elliptic curves for secure cryptographic protocols. He is renowned for co-developing the Supersingular Isogeny Key Encapsulation (SIKE) protocol, a leading candidate for post-quantum cryptography standards. His work spans theoretical foundations and practical implementations, including optimizing isogeny-based systems for embedded devices and ARM processors. Research interests include isogeny-based cryptosystems, elliptic curve cryptography, zero-knowledge proofs, and cryptographic security against quantum attacks. He explores applications of expander graphs and Ramanujan graphs in cryptography, alongside algorithmic improvements for cryptographic protocols such as SIDH (Supersingular Isogeny Diffie-Hellman). Key contributions include advancements in key compression techniques for SIKE, side-channel attack mitigation, and formalizing security models for post-quantum key exchange. His publications analyze cryptographic hardness assumptions, such as the discrete logarithm problem in finite groups and the semidirect product structure in isogeny-based systems. Jao’s work bridges theoretical mathematics and applied cryptography, with a focus on ensuring practical security in next-generation cryptographic systems. His research addresses challenges in quantum-resistant authentication, key establishment, and digital signatures, often emphasizing efficiency and resistance to both classical and quantum attacks.
Tanja Eisner is a Professor at the University of Leipzig , affiliated with the Institute of Mathematics. Her work bridges functional analysis and operator theory with dynamical systems and ergodic theory . Research Interests : Functional analysis and operator theory Dynamical systems and ergodic theory Applications to number theory and additive combinatorics Recent Publications (15 most recent): Her articles focus on ergodic theorems, stability of operators, and connections between dynamics and number theory, with keywords spanning Mathematics , Operator Theory , Dynamical Systems , and Harmonic Analysis . Notable subfields include multiple recurrence , nilsystems , automatic sequences , and Wiener's lemma . Teaching & Collaboration : Organized miniworkshops on operator-theoretic aspects of ergodic theory in Leipzig, Wuppertal, Kiel, Feldkirch, and Tübingen Co-authored books with Bálint Farkas, Markus Haase, and Rainer Nagel Co-organized seminars like the Internet Seminar on Ergodic Theorems
Tanja Lange is a Full Professor at the Department of Mathematics and Computer Science at Technische Universiteit Eindhoven. She chairs the Coding Theory and Cryptology group and serves as scientific director of the Eindhoven Institute for the Protection of Systems and Information (Ei/Ψ). Additionally, she holds a visiting professor position at Academia Sinica, Taiwan. Research & Teaching Her research focuses on cryptography and number theory , with leadership in post-quantum cryptography (including code-based, lattice-based, hash-based, and isogeny-based systems). She has taught courses like Introduction to Cryptology and Selected Areas in Cryptology at TU/e, covering quantum algorithms, cryptographic protocols, and mathematical foundations. Key Contributions Co-author of 5 recent publications (2023-2025) on differential addition chains, ROLLO-I analysis, CSIDH fault injection, and KpqC evaluations Recipient of the Best Master Lecturer 2016 award Active in NIST Post-Quantum Cryptography competition (e.g., NTRU Prime) Affiliated with the Center for Quantum Materials and Technology Eindhoven Contact MetaForum 5.062, TU/e Email: tanja@hyperelliptic.org (primary) | t.lange@tue.nl (TU/e)
Lawrence C. Washington is a Professor of Mathematics at the University of Maryland, College Park . His office is located in Mathematics Building 1105, and he can be reached at lcw@math.umd.edu . Teaching & Courses: In Spring 2023 he is teaching Cryptography 456 (TuTh 11:00–12:15) and co-organising the Algebra Seminar (MW 2–3). Office hours are held Tuesdays 1:30–2:30 and Thursdays 10:00–10:50. Research Interests: His work centres on number theory , with particular emphasis on cyclotomic fields , elliptic curves , cryptology , and Iwasawa theory . He has made extensive contributions to the study of p-adic L-functions , class groups , heuristics for class numbers , and the arithmetic of elliptic curves, often bridging deep theoretical questions with computational investigations. Textbooks & Scholarly Output: Washington is the author of several widely-used textbooks: Introduction to Cryptography with Coding Theory (3rd ed.) Introduction to Cyclotomic Fields Elliptic Curves: Number Theory and Cryptography An Introduction to Number Theory with Cryptography (2nd ed.) Elementary Number Theory Recent Publication Trends: Over the past five years his papers have focused on heuristics for Iwasawa invariants , anti-cyclotomic extensions , class groups of real cyclotomic fields , and analytic estimates for sums of prime powers . The work is characterised by a synthesis of algebraic, analytic, and computational techniques, frequently yielding explicit examples and numerical data that inform broader conjectures in algebraic number theory. Extracurricular Interests: Outside mathematics, Washington enjoys running and playing the bassoon , and he maintains a light-hearted page devoted to his favourite intersection in Chevy Chase, MD. Advising & Grants: While the provided text does not enumerate individual students or specific grants, his extensive publication record and long-standing professorship indicate ongoing supervision of graduate research and participation in funded projects in number theory and cryptography.
Giorgis Petridis is an Associate Professor at the University of Georgia, specializing in arithmetic combinatorics, a field rooted in combinatorial number theory with modern extensions into discrete analysis and finite field geometry. Born in Athens, Greece, he earned his PhD from the University of Cambridge under Tim Gowers and held a Visiting Assistant Professor position at the University of Rochester. He serves as an editor for Combinatorial Theory and is affiliated with the Number Theory and Arithmetic Geometry group, particularly its additive combinatorics and discrete analysis subgroup. Doctor of Philosophy (2011), University of Cambridge Certificate of Advanced Studies in Mathematics (2002), St John’s College, Cambridge BA (Hons) in Mathematics (2001), St John’s College, Cambridge His research focuses on additive combinatorics, exploring sumset estimates, polynomial configurations in prime lattices, and geometric incidence problems over finite fields. He investigates combinatorial geometry, including pinned distance problems and bisector arrangements, while also contributing to exponential sum bounds and expander graph theory. His work bridges theoretical mathematics with applications in pseudorandomness and discrete geometry. Recent publications highlight trends in finite field analysis, with 6 of 15 articles addressing arithmetic structures in prime-order fields. Key keywords include Combinatorics , Number Theory , and Finite Fields , with sub-fields spanning polynomial configurations, energy bounds, and geometric combinatorics. Scientific awards include the Creative Research Medal (2024) from the University of Georgia for mid-career research impact. Grants from the Simons Foundation (MPS-TSM-00007816) and multiple NSF DMS Awards (2054214, 1723016, 1500984, 1804049) support his work on discrete analysis and conferences. He co-advises five PhD students and has supervised multiple Master’s theses on topics like point-plane incidences and additive energy. Outreach includes leading high school math teams, organizing discrete analysis sessions, and contributing to public science communication guides.
Ben Green is the Waynflete Professor of Pure Mathematics at the University of Oxford and a Fellow of Magdalen College. His work spans additive combinatorics, analytic number theory, harmonic analysis, ergodic theory, discrete geometry, and group theory, with a focus on interdisciplinary approaches. Research Interests: Additive combinatorics and its applications to primes Analytic number theory (prime distribution, L-functions) Harmonic analysis (Fourier methods, spectral theory) Ergodic theory and its combinatorial applications Discrete geometry (ordinary lines, convex structures) Group theory (approximate groups, expansion) Article Trends: His recent work emphasizes multiplicative functions, Ramsey-type problems in number theory, expansion in finite groups, and extremal set theory. Themes include prime gaps, arithmetic progressions, and interactions between analysis and algebra. Scientific Awards: Clay Research Award (2004) Ostrowski Prize (2005) Whitehead Prize (2005) Leverhulme Prize (2007) European Mathematical Society Prize (2008) Royal Society Fellow (2010) Sylvester Medal (2014) Senior Whitehead Prize (2019) Advising: Ben has supervised numerous D.Phil students across additive combinatorics, analytic number theory, and related fields. Past students hold postdoctoral and academic positions globally.
Gábor Somlai is a mathematics researcher at Eötvös Loránd University's Faculty of Science, affiliated with the Department of Algebra and Number Theory since 2006. He is a core member of the HUN-REN-ELTE Geometric and Algebraic Combinatorics Research Group (previously MTA-ELTE until 2023) and participates in the Asymptotic Group Theory ERC project. His institutional roles include contributions to the Mathematics Doctoral School and the Institute of Mathematics. His research spans Algebra , Combinatorics , and Number Theory , with emphasis on spectral sets, tiling problems, group theory, and finite geometry. Recent work explores cyclotomic polynomials, the generalized trifference problem, and connections between tiling and spectral properties in finite abelian groups. His publications reveal a strong focus on combinatorial number theory and algebraic methods in discrete geometry. Somlai's publication trends show sustained contributions to theoretical foundations of tiling and spectral sets (testing Fuglede's conjecture in cyclic groups) Cayley graph properties and CI-group classifications polynomial methods in finite geometry and direction problems His work bridges pure algebra with combinatorial applications, often resolving long-standing conjectures in specialized domains. As part of the HUN-REN-ELTE research group, he collaborates on geometric and algebraic combinatorics projects, leveraging ERC funding for asymptotic group theory investigations. His research infrastructure includes access to the Alfréd Rényi Institute of Mathematics (http://www.renyi.hu) resources.
Julie Bergner is a Professor in the Department of Mathematics at the University of Virginia. She is currently on sabbatical during 2024-25 as a Visiting Fellow at Clare Hall, University of Cambridge. Her research focuses on Homotopy Theory, Algebraic Topology, Algebraic K-Theory, and Category Theory, with a particular emphasis on higher category theory and homotopical algebraic structures. University of Virginia (Professor, Department of Mathematics) University of Cambridge (Visiting Fellow at Clare Hall, 2024-25) Her work spans 2-Segal objects, model categories, Waldhausen constructions, and applications to topological field theories. She has received NSF CAREER awards for her research on equivariant topological field theories and higher cluster categories. Her recent publications explore combinatorial models, enriched categories, and homotopy limits in the context of functor calculus and higher structures. Julie Bergner contributes to mathematical exposition through articles on writing papers in the mathematical sciences and homotopy theory applications. She is actively involved in the department's topology seminar and supports collaborative learning initiatives. Her research has implications in algebraic topology, category theory, and their interdisciplinary applications.
