Jared Weinstein is a Professor in the Department of Mathematics and Statistics at Boston University, serving as the Departmental Ombud. He specializes in Number Theory and Algebraic Geometry, with a focus on p-adic geometry, shtukas, and moduli spaces. His research explores connections between arithmetic geometry and homotopy theory, including contributions to the Langlands program and local Shimura varieties. Education: AB from Harvard University (undergraduate), PhD from University of California, Berkeley. Postdoctoral work at UCLA and the Institute for Advanced Study before joining BU in 2011. Research interests include arithmetic geometry, p-adic Hodge theory, and the geometry of moduli spaces. His work often intersects with topics like perfectoid spaces, diamonds, and chromatic homotopy theory. Recent articles highlight advancements in modularity of elliptic curves over function fields and the Kottwitz conjecture for local shtuka spaces. No scientific awards are explicitly listed, but his extensive publications reflect significant contributions to his field. Advising and grants details are not provided here. His work is closely tied to the v-topology and related geometric frameworks in algebraic geometry.
Laurens Lootens is a Researcher in the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. His work focuses on theoretical physics, particularly in quantum lattice models, topological phases of matter, and mathematical structures underlying quantum systems. He is affiliated with the High Energy Physics research group within DAMTP. His research interests include dualities in quantum systems, matrix product operator symmetries, conformal field theories, and tensor network methods. Lootens explores topics such as entanglement in many-body systems, symmetry-protected topological phases, and the interplay between algebraic structures and physical phenomena. Publications highlight his contributions to understanding lattice representations of dualities, topological sectors in quantum models, and critical lattice models for conformal field theories. His work bridges theoretical frameworks with computational methods, advancing both fundamental physics and quantum information science.
Maxim Kontsevich is a permanent professor at the Institut des Hautes Études Scientifiques (IHÉS), holding the AXA Chair for Mathematics since 1995 and a visiting chair at Rutgers University (one month annually since 1997). Born in 1964 in Khimki, USSR, he earned his PhD from Bonn University in 1992. His career includes visiting positions at Harvard, the Institute for Advanced Study, and Berkeley, where he was a professor from 1993 to 1995. His research spans mathematical physics, algebraic geometry, and non-commutative geometry. Notable contributions include deformation quantization, mirror symmetry, and motivic integration. His work bridges algebraic structures with geometric and physical concepts, influencing areas like topological field theories, string theory, and integrable systems. Awardees of Fields Medal (1998), Crafoord Prize (2008), and Breakthrough Prize (2014), he also holds editorial roles at Compositio Mathematica and Publications Mathématiques IHÉS. His over 50 publications explore advanced topics such as quantum cohomology, Hodge theory, and categorical structures in geometry.
Benjamin Steinberg is a Professor in the Mathematics Department at the City College of New York (CCNY) and the CUNY Graduate Center. He holds a Ph.D. from the University of California, Berkeley (1998) under John Rhodes and has held positions at the University of Porto (Portugal) and Carleton University (Canada). His research focuses on algebra, including semigroups, geometric group theory, algebraic combinatorics, representation theory, and automata theory, with notable work on etale groupoids, inverse semigroups, and ring theory. He is the author of several books, including *The q-theory of Finite Semigroups* and *Representation Theory of Finite Monoids*. Steinberg serves as Managing Editor of the *International Journal of Algebra and Computation* and has organized conferences such as the International Conference on Semigroups and Groups in Honor of John Rhodes. Research interests include the interplay between algebraic structures and their applications, such as in automata theory and Markov chains. His work bridges pure mathematics with combinatorial and geometric approaches, often involving categorical and topological methods. Recent articles explore topics like Nekrashevych algebras, twisted Steinberg algebras, and Lyndon's identity theorem for monoids. He has contributed to the study of profinite groups and their connections to symbolic dynamics. Steinberg’s editorial roles and conference organization reflect his leadership in the mathematical community. Despite his defunct blog, his academic contributions remain prolific, with ongoing editorial work and research in algebraic combinatorics and representation theory.
Sheldon Katz is a Professor of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), with a joint appointment in the Department of Physics. He holds a Ph.D. in Mathematics from Princeton University (1980) and a B.S. from MIT (1976). Previously, he was a Regents Professor of Mathematics at Oklahoma State University before joining UIUC in 2001. Katz's research focuses on algebraic geometry and mathematical physics, particularly string theory and supersymmetric quantum field theories. His work bridges geometry and physics, exploring topics like Gromov-Witten theory, toric varieties, and F-theory. He co-authored the influential book Mirror Symmetry and Algebraic Geometry (1999), a cornerstone in the field. His recent research includes studies on BPS invariants, Calabi-Yau manifolds, and topological string theory. Key contributions include analyses of F-theory, mirror symmetry, and geometric dualities in string compactifications. He teaches advanced courses in algebraic geometry and mathematical physics at UIUC. While no explicit awards are listed, his extensive publication record and academic leadership reflect significant contributions to the field. Katz’s work continues to explore the interplay between algebraic geometry and fundamental physics.
David E Speyer is a Professor in the Department of Mathematics at the University of Michigan . His research focuses on algebraic problems with combinatorial flavors , particularly in tropical geometry , cluster algebras , and geometry of Lie groups . He has supervised multiple PhD students, including Shelby Cox, Will Dana, and John Wiltshire-Gordon, and collaborated on projects with undergraduates like Grant Barkley and Benjamin Branman. Education: PhD in Mathematics from UC Berkeley under Bernd Sturmfels; undergraduate at Harvard. Research: Key areas include tropical geometry , cluster algebras , and flag manifolds . His work often bridges combinatorics, algebraic geometry, and representation theory. Publications: Over 40 papers, including breakthroughs in cluster algebras , affine weak order , and braid variety cluster structures . Awards: Clay Research Fellow (2005-2010). Teaching: Coordinates courses like Math 593 (graduate algebra) and Math 214 , with a focus on inquiry-based learning .
Avi Wigderson is the Herbert H. Maass Professor in the School of Mathematics at the Institute for Advanced Study, Princeton. He is a leading authority in theoretical computer science, particularly computational complexity theory. Wigderson organizes the Computer Science and Discrete Mathematics (CSDM) program at the Institute, fostering interdisciplinary research at the intersection of mathematics and computer science. Wigderson earned his Ph.D. (1983), M.A. (1982), and M.S.E. (1981) from Princeton University. Prior to his current position, he held appointments at The Hebrew University of Jerusalem (1986-2003), Princeton University (1990-1992), Mathematical Sciences Research Institute, Berkeley (1985-1986), IBM Research (1984-1985), and University of California, Berkeley (1983-1984). Wigderson's research spans computational complexity theory, randomness and computation, algorithms and optimization, circuit complexity, proof complexity, quantum computation and communication, and cryptography. His work explores fundamental questions like whether mathematical creativity can be automated (P vs NP problem), the security of electronic commerce, the role of randomness in computation, and the potential of quantum mechanics to enhance computation. He has made significant contributions to understanding the power and limitations of efficient computation. Analysis of Wigderson's recent publications reveals a strong focus on optimization, complexity theory, and their mathematical foundations. His work connects diverse areas including non-commutative algebra, geometric complexity, graph theory, and quantum computing. A recurring theme is exploring whether fundamental computational problems like P vs NP can be addressed through optimization techniques such as gradient descent. His research shows increasing interdisciplinary connections between theoretical computer science, mathematics, and physics. ACM A.M. Turing Award (2023) Abel Prize (2021) Donald E. Knuth Prize (2019) Gödel Prize (2009) American Mathematical Society's Levi L. Conant Prize (2008) Rolf Nevanlinna Prize (1994) Yoram Ben-Porat Presidential Prize for Outstanding Researcher (1994) Bergman Fellowship (1989) Member, American Academy of Arts and Sciences Member, National Academy of Sciences While specific details about Wigderson's students are not provided in the source material, his extensive lecture series, workshops, and program organization suggest significant mentorship activities. His book "Mathematics and Computation" published by Princeton University Press serves as an educational resource for students and researchers. Wigderson has organized major programs at the Institute for Advanced Study including "Lower Bounds in Computational Complexity" (2018) and "Pseudorandomness" (2017), creating research opportunities for numerous scholars. Wigderson leads the Computer Science and Discrete Mathematics (CSDM) program at the Institute for Advanced Study, which brings together researchers from mathematics and computer science to explore fundamental questions in computation. His work with collaborators across multiple institutions has established connections between theoretical computer science and diverse fields including quantum information theory, algebraic geometry, and optimization. Recent projects focus on non-commutative optimization and its applications to computational complexity problems.
Abdellah Sebbar is a Full Professor in the Department of Mathematics and Statistics at the University of Ottawa. He holds a PhD from Stony Brook University (1993-1997) and prior degrees from Rabat and Strasbourg. His research focuses on number theory, algebraic geometry, and modular forms, with specialties in elliptic curves, moonshine theory, and quantum groups. He has authored over 40 publications, including works on Schwarzian equations and equivariant functions. His career includes roles as CRM-ISM Postdoctoral Fellow (1997-1999), CMS Instructor (1999-2001), and Associate Professor (2004-2013) before attaining his current rank. He advises graduate students and collaborates on projects involving modular subgroups and automorphic forms. Education: 1992: BSc in Pure Mathematics, Rabat 1992-1993: DEA (Master's), Strasbourg 1993-1997: PhD in Mathematics, Stony Brook (Fulbright Scholar) Research Interests: Modular forms and functions Elliptic curves and surfaces Discrete groups and moonshine Quantum groups and mathematical physics Schwarzian differential equations Professional Timeline: 2013–Present: Full Professor, UOttawa 2004–2013: Associate Professor, UOttawa 2001–2004: Assistant Professor, UOttawa His recent work emphasizes applications of Schwarzian equations to modular forms and automorphic differential equations. Collaborative efforts with Hicham Saber and others explore equivariant functions and vector-valued modular forms. He has supervised multiple PhD/MSc students, including co-supervision with Damien Roy.
N. Christopher Phillips is a Professor in the Department of Mathematics at the University of Oregon. He specializes in operator algebras, with a focus on C*-algebras, crossed products, and their applications to dynamical systems. His research explores topics such as strict comparison, classification of C*-algebras under group actions, and K-theory. He has organized conferences such as the West Coast Operator Algebra Seminars (WCOAS) and delivered lectures at institutions like the Research Institute for Mathematical Sciences (RIMS), Kyoto University, and the Centre de Recerca Matemàtica in Barcelona. Phillips is also known for maintaining resources for operator algebraists, including an email directory and a comprehensive list of operator algebra research links. His teaching includes advanced courses like Math 685 (Functional Analysis) and Math 618 (Advanced Topics in Mathematics). Phillips actively advocates against predatory academic practices, maintaining a list of predatory journals and promoting the use of plain text email to combat spam.
Prof. Gert-Martin Greuel is a distinguished mathematician and Emeritus Professor at RPTU Kaiserslautern, where he previously held a Professorship in the Department of Mathematics. His career includes roles as Director of the Mathematisches Forschungsinstitut Oberwolfach (2002-2013) and as editor of major journals like Zentralblatt MATH. He co-founded the Singular computer algebra system and led the Center for Computer Algebra at Kaiserslautern. Research Interests: His work focuses on singularity theory, algebraic geometry, and computational algebra. Key contributions include foundational studies on hypersurface singularities, equisingularity, and the development of mathematical software tools like Singular and swMATH. Awards: Greuel received the Richard D. Jenks Prize (2004) for Singular, an honorary doctorate from Leibniz University Hannover (2009), and the German Mathematical Society's Media Prize (2013). He pioneered public math exhibitions through the IMAGINARY project. Leadership & Outreach: He served as Chair of European Research Centres on Mathematics (2010-2013) and championed open-access initiatives for mathematical software and publications. His editorial roles span Oberwolfach Reports, Revista Matemática Complutense, and Ergebnisse series. Education: PhD (1973) and Habilitation (1980) from University of Göttingen and Bonn, respectively. His academic journey includes professorships in Osnabrück and Kaiserslautern, and supervision of over 20 PhD students in algebraic geometry and computational mathematics.
Ralph Blumenhagen is a Senior Researcher and Research Group Leader at the Max-Planck-Institut für Physik (Werner-Heisenberg-Institut) in Munich. He holds the position of Privatdozent at the Ludwig Maximilian University of Munich since 2007. His academic career includes a PhD from the University of Bonn (1994), postdoctoral positions at the University of North Carolina, Institute for Advanced Study in Princeton, Humboldt-Universität zu Berlin, and University of Cambridge. Research Interests: Superstring Theory and its various formulations String model building including heterotic strings, D-brane models, and M/F-theory vacua Flux compactifications focusing on moduli stabilization and string cosmology String phenomenology addressing low energy effective actions, D-brane instantons, and swampland conjectures Non-geometric string backgrounds involving double field theory and non-commutative geometry His publications reveal a strong focus on theoretical foundations of string theory with applications to particle physics and cosmology. Blumenhagen's work often bridges abstract mathematical structures with potential physical implications, particularly in connecting string theory to observable phenomena. Advising: Dr. Blumenhagen has supervised numerous PhD and Master's students, with thesis topics spanning swampland conjectures, string inflation, non-geometric backgrounds, flux compactifications, and D-brane physics. His students have produced significant contributions to string phenomenology and mathematical aspects of string theory. Research Group: He leads a research group at the Max Planck Institute focused on theoretical aspects of string theory, with particular emphasis on connecting string theory to observable physics through model building and phenomenological investigations. The group maintains active collaborations with researchers worldwide.
Francesca Da Lio is a Professor at the Department of Mathematics, ETH Zurich, where she has held a titular professorship since 2014. Her research focuses on nonlinear elliptic and parabolic partial differential equations (PDEs), with applications in stochastic and deterministic optimal control, homogenization, front propagation, and geometric analysis. She has pioneered work on conformally invariant variational problems and nonlocal PDEs, including fractional harmonic maps and stability analysis for critical points. PhD in Mathematics (1998) and Summa Cum Laude Degree in Mathematics (1994) from University of Padova. Her research explores the interplay between nonlinearity and non-locality, particularly in problems arising from geometry, mathematical finance, and physics. She has led major Swiss National Fund (SNF) projects, including grants for geometric analysis and conformally invariant variational theory. Her work on 3-commutators, integrability by compensation, and Morse index stability has advanced the understanding of harmonic maps and elliptic systems. Francesca Da Lio has mentored numerous PhD, postdoctoral, and Master/Bachelor students, including Dominik Schlagenhauf, Jerome Wettstein, and Ali Hyder. She has served on hiring committees for full professorships at ETH Zurich and co-organized international conferences such as 'Recent Advances in Nonlocal and Nonlinear Analysis' and 'Topics in Sub-Elliptic PDEs.' Scientific Awards: Italian Scientific Qualification as Full Professor in Mathematical Analysis (2013). She contributes to editorial boards, including Advances in Calculus of Variations , and participates in academic services like refereeing for SNF projects and international journals.
Cynthia Vinzant is an Associate Professor in the Department of Mathematics at the University of Washington. Her research focuses on real algebraic geometry, combinatorics, and convex optimization, with applications to hyperbolic polynomials, determinantal representations, and convex algebraic geometry. She collaborates extensively on projects involving numerical ranges, quasicrystals, and geometric optimization problems. Research Interests: Real algebraic geometry and its connections to combinatorics and optimization Hyperbolic and log-concave polynomials Convex geometry and spectrahedra Applications in matrix analysis and statistical mechanics Her work spans theoretical advances in algebraic geometry and computational methods, including contributions to the study of principal minors, tropical geometry, and phase retrieval problems. Recent publications highlight her focus on Fourier quasicrystals, higher-rank numerical ranges, and combinatorial structures in matroids. Publications: Over 30 peer-reviewed articles, including influential works on quartic curves, determinantal representations, and log-concave polynomials. Grants & Collaborations: Active in interdisciplinary research, with projects supported by NSF and collaborations in algebraic combinatorics and geometric optimization.
Dr. Paul Mitchener is a Lecturer at the University of Sheffield within the School of Mathematical and Physical Sciences . He serves as the MSc Mathematics Admissions Tutor and Course Director , contributing to both research and postgraduate education. His research lies at the intersection of Algebraic Topology and Functional Analysis , with a focus on non-commutative geometry, K-theory, index theory, and coarse geometry. He has explored applications of these areas to problems in operator algebras and topology, particularly through work on the Baum-Connes conjecture, Novikov conjecture for semigroups, and coarse homotopy groups. The 15 most recent publications highlight trends in his work: (1) Coarse Geometry (2020, 2001), (2) Novikov Conjecture (2018, 2011), (3) KK-Theory and C*-Categories (2002, 2007), (4) E-Theory (2020), and (5) Descent Techniques (2012, 2010). These works frequently involve analytical methods in topological problems.
Professor Robert G. Leigh holds a position in the Department of Physics at the University of Illinois at Urbana-Champaign, where he has been a faculty member since 1996. His research spans theoretical high energy physics, quantum gravity, and quantum information science, with significant contributions to string theory and its applications. Leigh received his bachelor's degree in theoretical physics from the University of Guelph in 1986 and completed his Ph.D. in theoretical particle physics at the University of Texas at Austin in 1991. Following postdoctoral appointments at the Institute for Particle Physics at the University of California, Santa Cruz and at Rutgers University, he joined the University of Illinois faculty. Professor Leigh's work lies at the heart of current efforts to build a fundamental theory of matter, including quantum gravity effects. His research primarily focuses on using gauge/gravity dualities (or holography) to study the physics of strongly coupled gauge theories and the strong coupling dynamics in condensed matter systems. His most notable contributions include the discovery of D-branes and orientifolds in string theory, the first example of superstring duality, and the derivation of the Dirac-Born-Infeld action describing the dynamics of D-branes. D-branes correspond to non-perturbative states unique to string theory and are analogous to magnetic monopoles in field theory. The study of D-branes is fundamental to modern string theory and its applications to particle physics, mathematics and condensed matter physics. His most recent publications demonstrate a continued focus on quantum entanglement, Chern-Simons theory, and the intersection of quantum information with gravitational physics. His work shows an evolution from fundamental string theory discoveries toward applications in condensed matter physics and quantum information through holographic methods. Fellow, American Physical Society (2007) Arnold O. Beckman Award, UIUC (December 2004) Outstanding Junior Investigator, DOE (1997-2000) Professor Leigh has taught advanced courses including Quantum Mechanics I & II, General Field Theory, Advanced Field Theory, and specialized topics in AdS/QFT Correspondence. His research program has been supported by various grants from the Department of Energy and other funding agencies. He has mentored numerous graduate students and postdoctoral researchers, contributing significantly to the next generation of theoretical physicists. His work continues to bridge multiple areas of theoretical physics, connecting string theory with quantum information science, condensed matter physics, and gravitational physics through the powerful framework of holography and gauge/gravity dualities.
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