جست‌وجوی استاد و پژوهشگر

Ignat Sorokoمشاهده پروفایل

استادیار مهمان

• Geometric group theory
• low-dimensional topology
• Artin groups
• +۶ مورد دیگر

Ignat Soroko is a Visiting Assistant Professor in the Department of Mathematics at the University of North Texas, where he teaches courses including Discrete Mathematics, Linear Algebra, and Calculus. Previously, he held postdoctoral positions at Louisiana State University under Pallavi Dani and at Florida State University as a Dean's Postdoctoral Scholar. Dr. Soroko earned his Ph.D. from the University of Oklahoma in May 2018 under the supervision of Noel Brady. His research focuses on geometric group theory and low-dimensional topology, with particular emphasis on Artin groups, Coxeter groups, mapping class groups, quasi-isometry invariants, and Dehn functions of groups. He also investigates Hanna Neumann-type questions, stable commutator length, and criteria for linearity. His recent publications reveal a strong focus on structural properties of Artin and Coxeter groups, with significant contributions to understanding Dehn functions, endomorphisms, and property R∞. His work spans both theoretical developments and computational approaches, including the development of GAP code for hypergraph index calculations. Notably, his 2025 paper "Humanity's Last Exam" represents a significant interdisciplinary contribution to AI benchmarking. Thank-a-teacher (UNT, 2023, 2024) Thank you letter from the students (FSU, 2021) Provost Certificate of Distinction in Teaching (OU, 2014) Dr. Soroko has taught various courses including Discrete Mathematics (Spring 2025), Linear Algebra and Vector Geometry (Fall 2022-2024), Calculus II (Spring 2023-2024), and Business Calculus (Fall 2024). His teaching evaluations have consistently been positive across multiple institutions including UNT, FSU, and LSU. While specific grant information isn't detailed in the provided text, his numerous publications in top journals indicate successful research funding. Dr. Soroko maintains active collaborations with researchers including Pallavi Dani, Noel Brady, R. Kropholler, and several international colleagues. His work on the HypergraphIndex project demonstrates his commitment to developing computational tools for geometric group theory.

• Education
• Programming
• Case Study
• +۴ مورد دیگر

Niklas Palmberg is a Lecturer at the Faculty of Education and Welfare Studies, Åbo Akademi University, affiliated with VÖS Gymnasium. His research spans education and mathematics, focusing on programming in Finnish upper secondary schools and mathematical operator theory. Research Interests Education: Curriculum development, pedagogical methods, and technology integration in upper secondary education. Mathematics: Functional analysis, operator theory, and properties of analytic function spaces. Publications Trends His work combines empirical case studies in education (2022) with theoretical mathematics (2005-2007), emphasizing composition operators, BMOA spaces, and spectral properties. Contact Email: niklas.palmberg@abo.fi

Mathilde Gerbelli-Gauthierمشاهده پروفایل

استادیار

• Number Theory
• Representation Theory

Mathilde Gerbelli-Gauthier is an Assistant Professor at the University of Toronto, specializing in Number Theory and Representation Theory. Her research focuses on cohomological aspects of arithmetic groups, automorphic forms, and trace formulas. Recent publications include studies on Fuchsian groups, unitary groups, and the Sarnak-Xue density hypothesis. She is affiliated with the Department of Mathematics (implied by research areas) and can be reached at m.gerbelli@utoronto.ca. Her work bridges algebraic and analytic number theory with geometric representation theory.

R. Inanc Baykurمشاهده پروفایل

استاد

• Low-dimensional Topology
• Smooth 4-manifolds
• Symplectic Geometry
• +۷ مورد دیگر

R. Inanc Baykur is a Professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. He has been a faculty member since 2013, advancing from Assistant Professor (2013–2017) to Associate Professor (2017–2022), and to Full Professor in 2022. His research lies at the intersection of low-dimensional topology and geometry, with a primary focus on smooth 4-manifolds, symplectic and contact structures, and Lefschetz fibrations. Baykur earned his Ph.D. in Mathematics from Michigan State University in 2007 under the supervision of Ronald Fintushel. He held postdoctoral and research positions at Columbia University, Brandeis University, and the Max Planck Institute for Mathematics in Bonn before joining UMass Amherst. He has also been affiliated with prestigious institutions such as the Mathematical Sciences Research Institute (MSRI), the Institute for Advanced Study (IAS), and the Institut des Hautes Études Scientifiques (IHÉS). His research interests include: Smooth and symplectic 4-manifolds Exotic smooth structures Mapping class groups and their factorizations Broken and simplified Lefschetz fibrations Trisections of 4-manifolds Contact and Stein fillings Baykur's recent publications reveal a strong trend in constructing explicit models of Lefschetz fibrations, understanding the geography of symplectic 4-manifolds, and exploring the interplay between algebraic factorizations and smooth topology. His work often combines deep theoretical insights with combinatorial techniques in mapping class groups to produce new families of exotic manifolds and to resolve long-standing conjectures. His scientific awards and grants include multiple National Science Foundation grants (e.g., DMS-2005327, DMS-1510395), Simons Foundation Collaboration Grants, and the UMass Flex Teaching Award, which he has received eleven times consecutively (2014–2024). He has also received research fellowships from IHÉS, Max Planck Institute, and IAS. Baykur is an active mentor and collaborator. He has advised several Ph.D. students, including Andrew Havens and Richard Buckman, and mentored postdoctoral researchers such as Nathan Sunukjian and Jonathan Simone. He has co-organized numerous international conferences and workshops, including events at AIM, ICERM, and in Dubrovnik, focusing on 4-manifolds, symplectic geometry, and low-dimensional topology. He is deeply involved in the mathematical community as a referee for top journals such as Annals of Mathematics , Inventiones Mathematicae , and Journal of Differential Geometry , and as a reviewer for the National Science Foundation.

• Euler systems
• p-adic L-functions
• Iwasawa theory
• +۴ مورد دیگر

Rob Rockwood is a Heilbronn Research Fellow and Research Fellow in the Department of Mathematics at King's College London, part of the Faculty of Natural, Mathematical & Engineering Sciences. He completed his PhD at the University of Warwick in 2022 under Professor David Loeffler. His research focuses on advanced topics in number theory and algebraic geometry, including Euler systems, p-adic L-functions, and applications to the Bloch—Kato conjectures. Research Interests: Rob’s work bridges spherical varieties , p-adic families of automorphic forms , and cohomology classes . He explores their interplay with Euler systems and Iwasawa theory to address fundamental conjectures like the Bloch—Kato conjectures. Publications highlight trends in modular forms, cohomology studies, and symmetric spaces. His recent work (2024) advances spherical varieties’ role in p-adic cohomology families. Earlier publications (2022–2023) underscore GL(2n) L-functions and non-ordinary cohomological families. Awards: Heilbronn Research Fellowship Grants and collaborations include the Heilbronn Fellowship, supporting his research. No formal advisees are listed, but his work involves collaborations with leading figures like Professor David Loeffler and Sarah Livia Zerbes. Labs/Teams: Active in King’s Number Theory group, contributing to its tradition of excellence in arithmetic geometry and automorphic forms.

Bella Tobinمشاهده پروفایل

استادیار

• Number Theory
• Arithmetic Dynamics
• Arithmetic Geometry
• +۷ مورد دیگر

Bella Tobin is an Assistant Professor of Mathematics in the Department of Mathematics at Agnes Scott College, located in Atlanta, Georgia. She is affiliated with the College of Arts and Sciences and actively contributes to both research and undergraduate education in pure mathematics. BSc in Mathematics, University of Vermont MA in Mathematics, University of Hawaii PhD in Mathematics, University of Hawaii (2019) Her primary research interests lie in number theory and arithmetic dynamics , with a focus on post-critically finite maps, dynamical Belyi maps, and the interplay between arithmetic dynamics and arithmetic geometry. She explores deep structural properties of polynomial and rational dynamical systems over number fields and non-archimedean fields, particularly through equidistribution phenomena and algebraic invariants. The recent publications highlight a consistent trend in arithmetic dynamics and modular forms , combining tools from algebraic geometry, Galois theory, and p-adic analysis. Her work often involves collaborative efforts across institutions, focusing on irreducibility, supercongruences, and stochastic aspects of adelic measures. These contributions place her at the intersection of pure number theory and dynamical systems. She has been actively involved in the academic community through speaking engagements and organizing special sessions, including at the AWM Research Symposium and regional number theory conferences. Bella Tobin has held postdoctoral positions at Oklahoma State University (2019–2022) and Oregon State University (2022–2023), working with Paul Fili and Clay Petsche respectively. She continues summer collaborations with Thrive Scholars, indicating ongoing mentorship and outreach. While formal advisees are not listed, her collaborative research suggests strong engagement with junior mathematicians and students. She maintains a research presence through her personal website and arXiv publications, and is committed to inclusive and accessible mathematics education, aiming to make the subject approachable and engaging for all students.

Ivan B. Penkovمشاهده پروفایل

استاد مدعو

• Lie Theory
• Representation Theory
• Algebraic Geometry
• +۲ مورد دیگر

Ivan B. Penkov is an Adjunct Professor of Mathematics at Constructor University Bremen, Germany, with a distinguished career in Lie theory, representation theory, and algebraic geometry. He earned his Master's degree from Moscow State University (1982) and Ph.D. from Steklov Mathematical Institute (1987). His academic journey includes tenured professorships at the University of California at Riverside (1991-2004) and a long-standing professorship at Jacobs University Bremen (2004-2023), followed by his current adjunct role. Education: Master in Mathematics, Moscow State University (1982) Candidate of Physical and Mathematical Sciences (PhD), Steklov Mathematical Institute (1987) Penkov's research focuses on representations of finite and infinite-dimensional Lie algebras and superalgebras, generalized Harish-Chandra modules, geometry of supermanifolds, and homogeneous ind-spaces. His work bridges pure mathematics with mathematical physics, emphasizing infinite-dimensional structures and their applications. Recent publications highlight advancements in bounded weight modules for Lie superalgebras at infinity, topological tensor representations, and automorphism groups of ind-varieties of generalized flags. These works reflect his deep engagement with categorification, geometric methods, and infinite-dimensional algebraic structures. Scientific awards and grants include multiple NSF and DFG grants, a Volkswagen Foundation grant, and the Batsheva de Rothschild Fellowship (2023). He has coorganized significant conferences and programs, such as the California Lie Theory Program and the German-Israeli workshop on symplectic geometry and representation theory. Penkov's advisees include PhD and MSc students like Aleksandr Fadeev, Elitza Hristova, Siarhei Markouski, and Todor Milev, many of whom have contributed to Lie theory and algebraic geometry. He has also mentored postdocs and collaborated with institutions worldwide, including Yale University, UC Berkeley, and the Max Planck Institute of Mathematics in Bonn.

Martin R Bridsonمشاهده پروفایل

استاد

• Geometric Group Theory
• Low-Dimensional Topology
• Spaces of Non-Positive Curvature
• +۳ مورد دیگر

Martin R Bridson is the Whitehead Professor of Pure Mathematics at the University of Oxford's Mathematical Institute and President of the Clay Mathematics Institute. He has held these positions since returning to Oxford in 2007 and October 2018, respectively. Previously, he served as Head of Oxford's Mathematical Institute from 2015 to 2018 and held a Chair in Pure Mathematics at Imperial College London. His educational background includes undergraduate studies at Hertford College (BA 1986) and graduate work at Cornell University (MS 1988, PhD 1991). He was an Assistant Professor at Princeton University and a Tutorial Fellow at Pembroke College, Oxford, before holding the title of Professor of Topology at Oxford until 2001. Professor Bridson's research focuses on geometric group theory, low-dimensional topology, and spaces of non-positive curvature. His work explores diverse encapsulations of symmetry, quantifications of complexity, and notions of curvature as unifying themes. He has made significant contributions to understanding the connections between geometry, topology, and group theory, particularly through his influential book "Metric Spaces of Non-Positive Curvature" with A. Haefliger, which won the 2020 Steele Prize. His recent publications show a strong focus on profinite completions of groups, subgroup separability, and the connections between geometric group theory and 3-manifold topology. His work has increasingly addressed algorithmic and decision problems in group theory, demonstrating how geometric methods can solve deep theoretical questions. His honors include: Whitehead Prize of the London Mathematical Society (1999) Forder Lectureship of the New Zealand Mathematical Society (2005) Royal Society Wolfson Research Merit Award (2012) Steele Prize of the American Mathematical Society (2020) Elected Fellow of the Royal Society (FRS) (2016) Elected Fellow of the American Mathematical Society (2015) Elected Fellow of the Academy of Europe (2020) Abel Prize Lecture in Oslo (2009) Erwin Schroedinger Lecture in Vienna (2011) Invited Speaker at the International Congress of Mathematicians (2006) Professor Bridson has advised numerous doctoral students who have gone on to prominent positions at institutions worldwide, including Dani Wise at McGill, Henry Wilton at Cambridge, and Dawid Kielak at Oxford. His research has been supported by various grants, including a Royal Society Wolfson Research Merit Award. He is actively involved in the mathematical community through seminars including the Groups and Geometry in the South East, and various Oxford seminars on Geometric Group Theory, Topology, Geometry and Analysis, and Algebra.

Dimitri Shlyakhtenkoمشاهده پروفایل

استاد

• Free Probability Theory
• Von Neumann Algebras
• C*-Algebras
• +۶ مورد دیگر

Dimitri Shlyakhtenko is a Professor at the University of California, Los Angeles (UCLA) Department of Mathematics, with a distinguished career in free probability, operator algebras, and von Neumann algebras. He has held leadership roles as Department Chair (2012-2015) and Director of the Institute for Pure and Applied Mathematics (2017-). Ph.D. in Mathematics (1997) from UC Berkeley under Dan-Virgil Voiculescu . B.S. with high distinction from the University of Nevada, Reno (1993). His research spans free probability , von Neumann algebras , C*-algebras , L2-invariants , and Poisson geometry . He has pioneered connections between free probability and random matrix theory, subfactor classifications, and non-commutative transport equations. Recent work includes inequalities for free entropy dimension and duality in non-commutative optimal transport. His 15 most recent publications focus on free entropy dimension, crossed products, non-commutative transport, and classification of von Neumann algebras. Topics include non-microstates free entropy , free group factors , quasi-regular inclusions , and type B free probability , with applications to quantum information and ergodic theory. Scientific Awards : Sloan Foundation Fellowship (2001), NSF Fellowships (1994, 1998), Clay Mathematics Institute award (2002), and Bourbaki Seminar recognition (2004). Organized major conferences at Fields Institute, Oberwolfach, IPAM, and UC Berkeley on quantitative linear algebra, free probability, and von Neumann algebras. He has mentored 12 Ph.D. students, including David Jekel and Max Zhou , with research in free analysis and operator-valued distributions. His work also involves collaborations with leading mathematicians like Alain Connes and Sorin Popa .

Anna Puskasمشاهده پروفایل

پژوهشگر ارشد

• Number Theory
• Algebraic Combinatorics
• Representation Theory
• +۳ مورد دیگر

Dr. Anna Puskas holds the position of Honorary Research Fellow at the School of Mathematics and Physics, The University of Queensland, where she maintains active research collaborations within Australia's premier mathematical sciences institution. Her scholarly work bridges abstract algebraic structures with concrete number-theoretic applications, reflecting deep engagement with both theoretical frameworks and cryptographic implementations. Her research program centers on four interconnected pillars: Number Theory & Cryptography : Developing Ramanujan graph applications for post-quantum cryptography and analyzing class field theory in multiquadratic extensions Algebraic Combinatorics : Constructing crystal bases through combinatorial representation theory and Kashiwara operator frameworks Representation Theory : Investigating metaplectic covers of Kac-Moody groups and their Whittaker function decompositions Lie Theory : Exploring t-deformed root multiplicities and correction factors in infinite-dimensional Lie algebras Analysis of her 2012-2019 publications reveals an evolving trajectory from classical invariant theory toward cutting-edge metaplectic representation theory. Her work demonstrates increasing sophistication in handling p-adic groups and automorphic forms, particularly through novel constructions of Whittaker functions on metaplectic covers. The cryptographic applications of her number-theoretic work—especially Ramanujan graphs—show practical impact beyond pure mathematics, while her crystal basis research provides essential combinatorial tools for representation theorists. No scientific awards or honors were documented in available institutional records. Similarly, details regarding graduate student supervision, research grant funding, or laboratory affiliations were not provided in the source materials, suggesting her honorary fellowship may focus primarily on independent research collaboration rather than formal teaching or administrative duties.

Yifei Zhaoمشاهده پروفایل

پژوهشگر

• Arithmetic Geometry
• Langlands Program
• Cohomology Theories
• +۶ مورد دیگر

Dr. Yifei Zhao is an academic researcher at the Mathematical Institute , University of Münster , Germany, within the Department of Mathematics and Computer Science. His work bridges arithmetic geometry, algebraic topology, and representation theory through advanced cohomology theories and geometric Langlands program research. Position: Fixed-term Academic Councilor (Akademischer Rat auf Zeit) Contact: yifei.zhao@uni-muenster.de , +49 251 83-35172, Room 100,008 Research focuses on: Langlands Correspondences : Extending to p-adic coefficients, derived categories, and geometric unification via motivic methods Moduli Spaces : Geometry of local shtukas, étale sheaves, and their cohomological properties Topological Recursion : Connections to free probability and Baker–Akhiezer kernels Cohomology Theories : Unifying étale, crystalline, and de Rham cohomology in mixed characteristics His current projects include CRC 1442 A05/D03 and EXC 2044 A1 , with publications in journals like Compositio Mathematica and Journal of the European Mathematical Society . Collaborators include James Tao and Luozi Shi. Detailed lecture notes on scheme theory and geometric Langlands are available from his courses and winter school contributions.

Paul David Nelsonمشاهده پروفایل

استاد

• Number Theory
• Automorphic Forms
• L-functions
• +۳ مورد دیگر

Paul David Nelson is a Professor at Aarhus University, affiliated with the Department of Mathematics. His research focuses on automorphic forms, L-functions, and spectral theory in number theory. University: Aarhus University Department: Mathematics Academic Rank: Professor His work addresses analytic aspects of automorphic representations, including subconvex bounds for L-functions, equidistribution, and theta functions. Recent publications explore spectral decompositions, Hecke sums, and applications of the orbit method. Key trends in his research include automorphic forms on GL(2), spectral theory of modular forms, and connections to arithmetic geometry. Publications span journals like Acta Mathematica, Inventiones Mathematicae, and Forum of Mathematics, Pi. Scientific Awards: Villum Investigator Contact: paul.nelson@math.au.dk

Antonio Montalbánمشاهده پروفایل

استاد

• Mathematical Logic
• Computability Theory
• Reverse Mathematics
• +۳ مورد دیگر

Antonio Montalbán is a Professor of Mathematics at the University of California, Berkeley , where he has been affiliated since 2012. His research focuses on Mathematical Logic and Computability Theory , analyzing the interplay between complexity and mathematical structures, particularly in countable objects and Turing degrees. Research areas include Computability Theory , Reverse Mathematics , and Structural Complexity . His publications span topics like Lower Cones of Degrees , Equimorphism Types , and Automorphism Problems . He has supervised PhD students such as James Walsh , James Gardner Moody , Matthew Harrison-Trainor , and Noah Schweber . He contributes to outreach through a column in Uruguay Ciencia , creating math puzzles in Spanish. Montalbán's teaching includes courses on Set Theory and Mathematical Logic , with public YouTube playlists. His work bridges foundational logic, algorithmic complexity, and applications in mathematics.

• Number Theory
• Analytic Number Theory
• Arithmetic Theory of Automorphic Forms
• +۱ مورد دیگر

Wenzhi Luo is a Professor in the Department of Mathematics at The Ohio State University, Columbus campus, specializing in advanced mathematical research with a focus on number-theoretic structures and automorphic forms. Education: Ph.D. in Mathematics, Rutgers University (1993) His research centers on: Number Theory as the foundational discipline Analytic Number Theory for asymptotic analysis Arithmetic Theory of Automorphic Forms for modular structures Automorphic Forms in higher-rank groups This work bridges analytic methods with arithmetic geometry to solve deep problems in modular forms and L-functions, contributing to Langlands program developments. Professional activities include maintaining a dedicated research website with vitae and publication records.

• Complex Analysis
• Algebraic Geometry
• Holomorphic Automorphisms
• +۲ مورد دیگر

Andreas Lind is an Associate Professor at Mid Sweden University, affiliated with the Department of Engineering, Mathematics and Subject Didactics (IMD) in Sundsvall. His research focuses on complex analysis and algebraic geometry. Research Interests: Holomorphic Automorphisms Danielewski Surfaces Stein Spaces Polynomial Hulls Envelopes of Holomorphy Complex Dynamics Publications showcase expertise in geometric analysis, holomorphic group actions, and complex structure preservation. Key works include the 2023 study on Lie group actions on Danielewski surfaces and a 2015 paper detailing the overshear group structure.