جست‌وجوی استاد و پژوهشگر

Kevin Fordمشاهده پروفایل

استاد

• Number Theory
• Prime number theory
• Divisor theory
• +۵ مورد دیگر

Kevin Ford is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, affiliated with the Department of Mathematics within the College of Liberal Arts & Sciences. His research focuses on Number Theory, including prime number theory, divisor theory, probabilistic methods, and sieve theory, with notable contributions to the Riemann zeta function and divisor distribution. Ford is also an editor for Research in Number Theory and the Bulletin and Journal of the London Mathematical Society . His recent work explores topics such as large gaps between primes, composite polynomial values, and the concentration of divisors. Ford’s publications often bridge analytic and probabilistic techniques to address classical number-theoretic problems. Despite extensive contributions, no specific academic awards are explicitly listed, though his editorial roles highlight his influence in the field. He advises no listed students, though his research group and collaborations with leading mathematicians like Terence Tao and Dimitris Koukoulopoulos are evident in his publications. Ford’s academic presence includes organizing the Illinois Number Theory Seminar and maintaining an active research agenda in number theory and combinatorics.

Noga Alonمشاهده پروفایل

استاد

• Combinatorics
• Graph Theory
• Theoretical Computer Science
• +۵ مورد دیگر

Noga Alon is a Professor of Mathematics at Princeton University, affiliated with the Mathematics Department. He is renowned for his contributions to Combinatorics, Graph Theory, and Theoretical Computer Science. His research emphasizes algebraic and probabilistic methods, with applications in circuit complexity and combinatorial geometry. Education & Affiliations Current position: Professor at Princeton University. Active in the Princeton Discrete Mathematics Seminar and has led conferences like the Noga60 Birthday Conference. Research Interests Focus areas include Combinatorics (e.g., Ramsey Theory, Graph Coloring), Theoretical Computer Science (e.g., Algorithms, Complexity), and probabilistic and algebraic methods in discrete mathematics. His work bridges combinatorial structures and algorithmic applications, with contributions to expander graphs, randomized algorithms, and extremal graph theory. Publications Over 300 papers, including foundational work on the probabilistic method, expander graphs, and combinatorial algorithms. Notable recent topics include graph coloring, path-finding algorithms (e.g., Color-coding), and spectral techniques for graph problems. Grants & Awards No specific grants or awards listed in available texts, though his academic stature implies prestigious recognition in combinatorics and computer science. Labs & Collaborations Involved in collaborative research through Princeton’s Mathematics Department and international conferences. Leads seminars and co-authors work with prominent researchers like M. Naor, J. Spencer, and others.

• Finite Groups
• Algebraic Groups
• Representation Theory
• +۳ مورد دیگر

Robert Guralnick is a Professor of Mathematics at the University of Southern California’s Dornsife College of Letters, Arts and Sciences. His research focuses on finite and algebraic groups, representation theory, and arithmetic algebraic geometry. He has made significant contributions to understanding group structures, character theory, and subgroup dynamics in both finite and algebraic contexts. His work spans advanced topics such as Sylow subgroup analysis, commutator properties, and probabilistic group generation. Recent studies include investigations into invariable generation in simple groups and generic stabilizers in algebraic group actions. Guralnick’s research often bridges abstract group theory with geometric and topological methods, addressing foundational questions in algebraic structures. His publications highlight interdisciplinary approaches to group theory, including applications to cohomology, combinatorics, and representation theory. Despite no explicit mention of awards, his extensive publication record reflects sustained academic impact in pure mathematics. Guralnick’s advising and grant activities are not detailed here, though his prolific research output suggests active mentorship and funding support. No specific lab affiliations or teams are noted in the provided texts.

Rob Silversmithمشاهده پروفایل

مدرس

• Algebraic Geometry
• Moduli Spaces
• Tropical Geometry
• +۷ مورد دیگر

Rob Silversmith is a Warwick Zeeman Lecturer in the Warwick Mathematics Institute at the University of Warwick, with a focus on algebraic geometry and combinatorics. Starting Fall 2025, he will transition to an Assistant Professor role at Emory University. His academic journey includes a Ph.D. from the University of Michigan (2017), advised by Yongbin Ruan, and postdoctoral positions at Northeastern University and the Simons Center for Geometry and Physics. His research interests span algebraic geometry—particularly moduli spaces of curves, tropical geometry, and combinatorial structures—as well as connections to string theory, geometric rigidity, and dynamics. Key contributions include work on Gromov-Witten invariants, cross-ratio degrees, and the T-graph of Hilbert schemes. His recent publications (2021–2025) explore topics such as moduli spaces, tropical geometry, and combinatorial algebraic geometry, reflecting a blend of geometric and computational methods. Notable collaborations include work with R. Cavalieri, T. Kelly, and R. Ramadas on projects like Genus-zero r-spin theory and Equations at infinity for critical-orbit-relation families of rational maps . Rob has advised no listed graduate students but has contributed to interdisciplinary projects involving computer-aided conjecture-making. His scholarly activities include organizing seminars and maintaining an active presence in geometric research communities. He is affiliated with the Warwick Mathematics Institute and holds a position in the Zeeman Building. His work frequently intersects with combinatorial and computational approaches to algebraic geometry, emphasizing explicit polynomial constructions and data-driven conjectures.

• Algebraic Combinatorics
• Representation Theory
• Number Theory
• +۴ مورد دیگر

Ziqing Xiang is an Associate Professor in the Department of Mathematics and the National Center for Applied Mathematics Shenzhen at Southern University of Science and Technology (SUSTech) . He completed his PhD at the University of Georgia (UGA) under the supervision of Daniel K. Nakano , with a dissertation titled "Representation theory for Iwahori-Hecke algebras and Schur algebras of classical type". Education: PhD in Mathematics, University of Georgia (UGA), 2019 Research Interests: His research lies at the intersection of algebraic combinatorics , representation theory , and number theory . Specific areas include: Combinatorics: association schemes, design theory, graph theory, symbolic dynamics, phylogenetic combinatorics Number Theory: Diophantine equations, finiteness of integral points, variable separated curves Representation Theory: algebraic groups, cohomology, Iwahori-Hecke algebras, quantum groups, Schur algebras Publications Overview: Dr. Xiang has published extensively in leading journals such as Advances in Mathematics , Journal of Algebraic Combinatorics , Discrete Mathematics , and Transformation Groups . His work spans theoretical classifications (e.g., tight designs, spherical designs), algebraic constructions (e.g., q-Schur algebras, quantum wreath products), and interdisciplinary applications (e.g., phylogenetic combinatorics). Contact & Affiliation: Email: xiangzq@sustech.edu.cn Office: College of Science M5005, SUSTech

Tyler Lawsonمشاهده پروفایل

استاد

• Algebraic topology
• K-theory
• Homotopy theory
• +۳ مورد دیگر

Tyler Lawson is a Professor in the School of Mathematics at the University of Minnesota, holding the distinguished Albert and Dorothy Marden Professorship. His office is located in Vincent Hall 323 at 206 Church Street SE, Minneapolis, MN 55455, and he can be reached at tlawson@umn.edu or (612) 625-6802. Professor Lawson's research focuses on algebraic topology and K-theory, with significant contributions to homotopy theory, quandles, stable homotopy theory, and braided Hopf algebras. His work bridges abstract algebraic structures with topological applications, particularly exploring connections between category theory and homotopy-theoretic constructions. He has made notable advances in understanding filtrations and derived spaces, the generating hypothesis in stable homotopy theory, and the homotopy theory of quandles as they relate to knot invariants. Analysis of his recent publications reveals a strong emphasis on structural theorems in algebraic topology, with particular attention to equivariant phenomena, rational homotopy theory, and connections to arithmetic statistics. His research demonstrates sophisticated interplay between combinatorial structures and topological invariants, often revealing unexpected connections between seemingly disparate mathematical domains. Albert and Dorothy Marden Professor Professor Lawson actively advises graduate students and participates in the topology seminar series at the University of Minnesota, where he has presented on topics ranging from filtrations and derived spaces to the generating hypothesis. His research program includes collaborations with mathematicians across institutions, contributing to advancements in homotopy theory and its applications to other mathematical fields. He maintains an active research group focused on exploring the frontiers of algebraic topology and its connections to related disciplines.

Amit Kuberمشاهده پروفایل

دانشیار

• Representation theory of associative algebras
• Order theory
• K-theory of model-theoretic structures
• +۳ مورد دیگر

Amit Kuber is an Associate Professor in the Department of Mathematics & Statistics at Indian Institute of Technology Kanpur . He specializes in representation theory of associative algebras, order theory, and K-theory of model-theoretic structures, with a growing portfolio of high-impact publications and teaching accolades. Education PhD (2011-14) – University of Manchester, UK (Thesis: "K-theory of theories of modules and algebraic varieties"; Supervisor: Prof. Mike Prest) Master of Advanced Studies/Part III of Mathematical Tripos (2010-11) – University of Cambridge, UK M.Sc. (2008-10) – University of Pune B.Sc. (2006-08) – Garware College, Pune Research Interests & Focus Kuber's work lies at the intersection of algebra, model theory, and combinatorics. He explores combinatorial aspects of the representation theory of bound quivers , arithmetic properties of linear orders, and Grothendieck rings arising from model-theoretic structures. His research often bridges abstract categorical frameworks with concrete combinatorial problems, yielding insights into both tame and wild representation types. Scientific Awards & Honors Gopal Das Bhandari Memorial Distinguished Teacher Award (2023) Excellence-in-Teaching Award (2022) Sushila and Kantilal Mehta Award (2019) Eduard Čech Institute Post-doctoral Fellowship (2016) University of Manchester Overseas Students Scholarship (2011-14) Cambridge Commonwealth Trust Scholarship (2010-11) NBHM M.Sc. Scholarship (2008-10) Lt. Padmabhushan A. Garware & Lt. R.G. Kunte Memorial Awards for First Rank in B.Sc. Mathematics (Pune University) Professional Experience & Grants After completing his PhD, Kuber held post-doctoral positions at Masaryk University, Brno (2014-15) and the Second University of Naples, Caserta (2016). While explicit grant details are not provided, his continuous appointment at IIT Kanpur and multiple teaching awards indicate sustained institutional support for his research and pedagogical initiatives. Extracurricular Interests Beyond academia, Kuber engages in Indian classical and light music (vocal, harmonium, tabla) and poem writing .

• Number Theory
• Representation Theory
• p-adic Groups
• +۳ مورد دیگر

Jessica Fintzen is a Professor of Mathematics at the University of Bonn since 2022, holding the Chair for Number Theory. Previously, she served as a Royal Society University Research Fellow and Lecturer at the University of Cambridge (2020–2022) and Assistant Professor at Duke University (2020–2021). Her academic journey includes postdoctoral roles at the University of Michigan (2016–2020) and the Institute for Advanced Study (2017–2018). She earned her PhD in Mathematics from Harvard University in 2016, alongside dual BSc degrees in Mathematics and Physics from Jacobs University Bremen (2011). Her research focuses on number theory and representation theory , particularly on p-adic groups and the Langlands program. She has organized high-profile conferences such as the 2020 Paul J. Sally, Jr. Midwest Representation Theory Conference and the Arizona Winter School 2025. Her work bridges theoretical insights with applications, including contributions to Bruhat-Tits theory, Hecke algebras, and automorphic forms. Fintzen has been recognized with prestigious awards, including the EMS Prize (2024), the Frank Nelson Cole Prize in Algebra (2024), and the Whitehead Prize (2022). She leads the ERC Starting Grant-funded project and has secured NSF grants, including a CAREER Grant. Her research also involves collaborations on topics like Moy-Prasad filtrations and stable vectors in representation theory. Grants: ERC Starting Grant (2022–2027), NSF CAREER Grant (2021–2026), NSF Grant (2018–2022) Fellowships: Sloan Research Fellowship (2021–2023), Royal Society Fellowship (2020–2025) Professional Activities: Organized conferences, led working groups, and contributed to initiatives like the Arithmetic Geometry and Representation Theory group in Bonn.

Shachar Carmeliمشاهده پروفایل

پژوهشگر

• Homotopy Theory
• Algebraic Geometry
• Representation Theory
• +۳ مورد دیگر

Shachar Carmeli is a researcher in the Department of Mathematics at the Weizmann Institute of Science. He previously held a postdoctoral position at the University of Copenhagen's Department of Mathematical Sciences, working with the Copenhagen Centre for Geometry and Topology. Carmeli earned his PhD from the Weizmann Institute under the supervision of Professor Dmitry Gourevitch, focusing on advanced topics in algebraic topology and representation theory. His research interests span homotopy theory, chromatic homotopy theory, algebraic geometry, and representation theory, with a current emphasis on higher semiadditivity in chromatic homotopy theory and its connections to algebraic K-theory. He also explores Nash stacks and geometric representation-theoretic frameworks. Notable collaborations include work with Tomer M. Schlank, Lior Yanovski, and Allen Yuan on cyclotomic extensions, redshift phenomena, and categorified trace constructions. Carmeli's recent publications highlight contributions to topics like chromatic Fourier transforms, descent in algebraic K-theory, and the topology of crystalline materials. His work bridges abstract algebraic structures with geometric and topological applications, often leveraging tools from higher category theory and spectral algebraic geometry.

Matteo Vialeمشاهده پروفایل

استاد

• Mathematical Logic
• Set Theory
• Forcing Axioms
• +۳ مورد دیگر

Matteo Viale is a Full Professor in the Department of Mathematics at the University of Torino. He specializes in mathematical logic with a focus on set theory, forcing axioms, and generic absoluteness. He is an active member of the Turin Logic Group and maintains international collaborations in foundational mathematics. His research explores advanced topics in set theory including forcing techniques, large cardinals, cardinal arithmetic, and their applications to mathematical foundations. Recent work investigates connections between forcing axioms and category theory, as well as absoluteness principles across different mathematical structures. Viale has advised numerous graduate students on theses covering boolean-valued models, forcing techniques, set-theoretic topology, and applications of logic to functional analysis. His pedagogical contributions include comprehensive lecture notes on forcing iterations, model companionship, and semiproper forcing. Notable recognitions include the Kurt Gödel Research Prize Fellowship (2010), Premio Fubini (2010), and Sacks Prize (2006) for his doctoral thesis on forcing axioms and cardinal arithmetic.

Federico Ardila-Mantillaمشاهده پروفایل

استاد

• Combinatorics
• Algebraic Combinatorics
• Geometric Combinatorics
• +۵ مورد دیگر

Federico Ardila-Mantilla is a Professor of Mathematics at San Francisco State University and an Adjunct Professor at Universidad de los Andes, Colombia. His research focuses on combinatorics and its connections to geometry, algebra, and topology, with notable contributions to matroid theory, polytopes, and tropical geometry. He is also deeply involved in promoting equitable and inclusive mathematics education through initiatives like the SFSU-Colombia Combinatorics Initiative . His work bridges pure mathematics and applications, particularly in robotics and discrete geometry. He has held visiting positions including at the Institute for Advanced Study (Princeton, 2024-25). His research spans over 60 publications, emphasizing interdisciplinary approaches to combinatorial problems. Ardila advocates for accessibility in mathematics through axioms such as 'Mathematical potential is equally present in all groups' (cited widely in educational contexts). Key areas of research include algebraic structures on polytopes, Lagrangian geometry of matroids, and geometric enumeration. He collaborates internationally and mentors students across institutions. His outreach efforts aim to make mathematics accessible to underrepresented communities.

• Number theory
• Ergodic theory
• Combinatorics
• +۳ مورد دیگر

Tamar Ziegler is a Professor of Mathematics at the Einstein Institute of Mathematics, Hebrew University, holding the Henry and Manya Noskwith Chair in Mathematics since 2018. She currently serves as Chair of the Einstein Institute (2020-present) and has held visiting positions at prestigious institutions including IAS Princeton (2022-2023 Distinguished Visiting Professor), MSRI (2017 Simons Professor), and Stanford University (2012-2013). Her academic journey began with a B.Sc. summa cum laude (1995), M.Sc. (1998), and Ph.D. (2003) in mathematics from Hebrew University under advisor Hillel Furstenberg. Her career progression shows steady advancement from Zassenhaus Assistant Professor at Ohio State University (2002-2005), through positions at Technion (rising from Senior Lecturer to Professor), to her current role at Hebrew University since 2013. Ziegler's research spans number theory, ergodic theory, and combinatorics, with particular focus on additive combinatorics, higher order Fourier analysis, and connections between dynamical systems and number theory. Her work frequently involves collaborations with leading mathematicians including Terence Tao, Ben Green, and David Kazhdan. Analysis of her publication record reveals consistent contributions to fundamental mathematical problems, particularly in establishing polynomial patterns in primes, inverse conjectures for Gowers norms, and connections between ergodic theory and combinatorial number theory. Her research demonstrates a progression from foundational work on characteristic factors to increasingly sophisticated applications in prime number theory. 2025-2030 ERC Advanced grant 2024 Rothschild Prize in Mathematics 2024 9th European Congress in Mathematics, Plenary Speaker 2023 AIM Alexanderson Award 2021 Elected to Academia Europaea 2016 Rector's Prize for Excellence in Research and Teaching 2016-2021 ERC Consolidator grant 2015 Michael Bruno Memorial Award Ziegler has received continuous research funding through prestigious grants including multiple ERC awards and fellowships. Her leadership role as Chair of the Einstein Institute demonstrates significant institutional responsibility. While specific advising information isn't provided in the sources, her Erdős number is 2 (via Hillel Furstenberg) and she has collaborated with many prominent mathematicians throughout her career. As Chair of the Einstein Institute of Mathematics, Ziegler leads one of Israel's premier mathematical research centers, overseeing research programs and academic activities that connect ergodic theory, number theory, and combinatorics with other mathematical disciplines.

Davi De Castro Silvaمشاهده پروفایل

پژوهشگر

• Theoretical Computer Science
• Quantum Computing
• Combinatorics
• +۵ مورد دیگر

Davi De Castro Silva is a Researcher at the University of Cambridge, affiliated with the Department of Computer Science and Technology and the Centre for Quantum Information and Foundations. His current work is advised by Tom Gur and Sergii Strelchuk. Previously, he was a postdoc at CWI (Amsterdam) in QuSoft, advised by Jop Briët, and completed his PhD in Applied Mathematics at the University of Cologne under Frank Vallentin and Fernando de Oliveira Filho. He holds a Master's from IMPA (Brazil) under Roberto Imbuzeiro Oliveira and a BSc/MSc from École Polytechnique (France). His research focuses on theoretical computer science, quantum computing, and combinatorics, with recent emphasis on quantum speedups' structural foundations, such as symmetry's role. Key areas include additive combinatorics (e.g., higher-order Fourier analysis), computational complexity (lower bounds), combinatorial optimization (semidefinite programming), and quantum information theory. Notable contributions include studies on quasirandomness in additive groups, quantum algorithms' limitations, and tensor analysis. His work bridges combinatorial methods with quantum computing, exploring algorithmic efficiency and structural properties. He has published in journals like Discrete Analysis , Combinatorica , and Forum of Mathematics, Sigma , with preprints addressing quantum computation symmetry, Goldreich-Levin algorithms, and hypergraph quasirandomness. His research highlights interdisciplinary approaches to foundational questions in computing and mathematics.

Julia Wolfمشاهده پروفایل

استاد

• Arithmetic Combinatorics
• Harmonic Analysis
• Analytic Number Theory
• +۳ مورد دیگر

Julia Wolf is a Professor of Pure Mathematics at the University of Cambridge, affiliated with the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and Trinity College. Her research focuses on arithmetic combinatorics, harmonic analysis, and analytic number theory, with interdisciplinary connections to model theory, discrete geometry, and theoretical computer science. She holds an EPSRC Open Fellowship and has organized events like the Warwick-Oxbridge-Manchester-Bristol-London (WOMBL) meetings. Wolf teaches advanced courses such as 'Higher-Order Uniformity' and 'Analytic Number Theory,' emphasizing structure and applications. Her work bridges combinatorial, analytic, and algebraic techniques, addressing problems like polynomial configurations in primes, extremal hypergraph theory, and Ramsey multiplicity. Recent research includes structural stability in finite abelian groups and applications of model theory to additive combinatorics. Wolf actively promotes open-access publishing and has mentored numerous postdoctoral researchers and students through initiatives like the Philippa Fawcett Internship Programme. She also contributes to academic equity efforts, such as gender-inclusive hiring in mathematics. Professional activities include editorial roles, conference organization (e.g., the Simons Institute's Pseudorandomness program), and leadership in collaborative projects like the 'Combinatorics Meets Model Theory' workshop. Her grants and fellowships underscore her contributions to advancing discrete mathematics and fostering international academic networks.

• Convex Geometry
• Geometric Tomography
• Integral Geometry
• +۳ مورد دیگر

Daniel A. Klain is a Professor in the Department of Mathematics & Statistics at the University of Massachusetts Lowell , part of the College of Sciences. His career focuses on geometric and discrete mathematics, with significant contributions to Convex Geometry and its intersections with probability and combinatorics. Education: Ph.D. in Mathematics (1994), Massachusetts Institute of Technology B.S. in Mathematics (1990), Massachusetts Institute of Technology Research Interests span Convex Geometry, Geometric Tomography, Integral Geometry, and Combinatorics. His work explores geometric inequalities, valuations, and symmetrization techniques, often bridging classical geometry with modern probabilistic and discrete methods. Article Trends highlight his focus on Convex Geometry and Integral Geometry, with studies on Steiner symmetrization, shadow covering, and valuations. His publications also reflect interests in geometric probability, number theory, and educational insights. Scientific Awards and Grants: Mathematical Sciences Teaching Excellence Award (2010, 2003) Sigma Xi Young Faculty Award (2000) Jon A. Bucsela Prize in Mathematics (1990) NSF Graduate Fellowship (1990) National Merit Scholar (1986) NSF grants (2003, 1998, 1996) for convex geometry and geometric analysis Service and Collaborations: Active in teaching, research, and academic service, Klain has co-authored works in geometric probability and presented at numerous international workshops and seminars. His career integrates rigorous mathematical inquiry with educational innovation.