جست‌وجوی استاد و پژوهشگر

• Dynamical systems
• Ergodic theory
• Homogeneous spaces
• +۴ مورد دیگر

Manfred Einsiedler is a Professor in the Department of Mathematics at ETH Zurich, Switzerland, with office HG G 64.2 at Rämistrasse 101, 8092 Zurich. He teaches undergraduate and graduate courses including Linear Algebra (HS 2019), Analysis I/II, and Functional Analysis I/II, using his co-authored textbook Functional Analysis, Spectral Theory, and Applications . His research centers on dynamical and equidistribution problems in homogeneous spaces, with focus on closed horocycle orbits, geodesic orbits on the modular surface, and measure rigidity. Key contributions include work on effective equidistribution, entropy methods, and connections between ergodic theory and number theory. He has co-authored foundational texts: Ergodic Theory with a view towards Number Theory and Functional Analysis, Spectral Theory, and Applications in Springer's Graduate Texts in Mathematics series, alongside multiple in-progress volumes on entropy, homogeneous dynamics, and unitary representations. Recent publications explore integer points on spheres, rigidity of invariant measures, and Diophantine approximation on fractals, emphasizing collaborations with Lindenstrauss, Ward, Margulis, and Venkatesh. His work demonstrates consistent focus on homogeneous dynamics with applications to arithmetic problems, particularly through effective methods and measure classification theorems. While no specific awards or student lists are documented in the source, his extensive publication record and textbook authorship establish significant scholarly impact.

David Fisherمشاهده پروفایل

استاد

• Geometric Rigidity Theory
• Dynamical Systems
• Geometric Group Theory
• +۳ مورد دیگر

David Fisher is the Milton B. Porter Professor of Mathematics at Rice University, specializing in geometric rigidity theory, dynamical systems, and geometric group theory. His research explores lattice actions, superrigidity, quasi-isometric embeddings, and the Zimmer program, with collaborations spanning institutions like the University of Chicago and Stanford University. B.S., Columbia University Ph.D., University of Chicago (1999) His work focuses on the interplay between group actions, Lie groups, and topology. Key contributions include advancements in Zimmer's conjecture, rigidity of warped cones, and quasi-isometric rigidity of solvable groups. His publications highlight collaborations with leading mathematicians such as Alex Eskin, Gregory Margulis, and Shmuel Weinberger. Fisher’s research intersects coarse geometry, harmonic maps, and measure rigidity, often addressing fundamental questions in non-uniform lattices and affine actions. He maintains active engagement in the mathematical community through publications and academic leadership.

Chikako Meseمشاهده پروفایل

استاد

• Differential Geometry
• Geometric Analysis
• Teichmüller Theory
• +۵ مورد دیگر

Chikako Mese is a Full Professor in the Department of Mathematics at Johns Hopkins University (JHU), part of the Krieger School of Arts & Sciences. She served as Department Chair (2008-2011) and Director of the Graduate Program (2014-2017, 2018-2019). Her research focuses on differential geometry and geometric analysis , with contributions to harmonic maps, Teichmüller theory, and CAT(k) spaces. She holds a PhD from Stanford University (1996), advised by Richard Schoen. Education: PhD in Mathematics, Stanford University, 1996 M.S., Stanford University, 1993 B.S. in Mathematics & Physics, University of Dayton, 1991 (Summa Cum Laude) Research Interests: Mese explores geometric structures in singular spaces, harmonic maps, and applications to Teichmüller theory. Her work bridges differential geometry with analysis of metric spaces, addressing questions of rigidity, regularity, and variational problems. Notable areas include CAT(k) spaces, minimal surfaces, and Higgs bundles in geometric group theory. Grants & Awards: Fellow of the American Mathematical Society (AMS) Simons Fellowship (2017-2018) Multiple NSF DMS grants (2003–2023) for geometric analysis research Woodrow Wilson Career Enhancement Fellowship (2001-2002) Advising & Mentoring: Mese has advised doctoral students including Benjamin Dees (current), Duncan Sinclair (2014), Jonathan Dahl (2010), and Patrick Zulkowski (2009). She mentors junior faculty and leads research groups in minimal submanifolds at workshops like the Women in Geometry series (Banff 2015, Oaxaca 2019). Labs/Teams: Collaborates with leading institutions globally (e.g., Brown University, CNRS, Tohoku University) on projects involving geometric rigidity, harmonic maps, and moduli spaces. Active in editorial roles, including Notices of the AMS.

Sven Raumمشاهده پروفایل

استاد

• Operator Alge
• Group Theory
• Quantum Groups
• +۴ مورد دیگر

Prof. Dr. Sven Raum is Chair of Algebra at the University of Potsdam , Germany, within the Institute of Mathematics . His research focuses on operator algebras and their interactions with groups and group-like structures, including Hecke algebras, groupoids, quantum groups, and tensor categories. He leads the research group GOAT (Gruppen- und Operatoralgebren-Treffen), which includes postdocs Sanaz Pooya and Jonathan Taylor.

Dave Morrisمشاهده پروفایل

استاد

• Group Theory
• Lie Theory
• Arithmetic Groups
• +۱۲ مورد دیگر

Dave Morris is a Professor in the Department of Mathematics & Computer Science at the University of Lethbridge since 2003. He holds a PhD in Mathematics from the University of Chicago (1985). His research focuses on algebraic and geometric aspects of group theory, particularly infinite matrix groups, arithmetic groups, and applications to graph theory and dynamical systems. Key research areas include: Arithmetic groups and their rigidity properties Algebraic properties of infinite matrix groups Applications of finite groups in graph theory (e.g., Cayley graphs) Unipotent flows and Ratner's Theorems His publications span over 50 works, including books on Ratner's Theorems (2005), Ergodic Theory (2008), and an open-access textbook on abstract mathematics (with Joy Morris). He has delivered numerous talks on topics like Hamiltonian cycles in Cayley graphs and actions of Lie groups on manifolds.

Alessandra Iozziمشاهده پروفایل

استاد

• Bounded cohomology
• Lie groups
• Symmetric spaces
• +۵ مورد دیگر

Alessandra Iozzi is a Professor in the Department of Mathematics at ETH Zurich, where she has been an active faculty member for many years. Her office is located in HG G 37.4 at ETH Zentrum, and she maintains a strong research and teaching presence at one of the world's leading technical universities. She regularly organizes academic activities including workshops, seminars, and conferences related to her research interests. Professor Iozzi's research focuses on bounded cohomology, Lie groups, symmetric spaces, geometric group theory, Teichmüller theory, and representation theory . Her work often involves deep connections between geometric structures and algebraic representations, with significant contributions to understanding rigidity phenomena in mathematics. She has developed important results in the theory of maximal representations and their geometric interpretations, particularly in relation to Hermitian symmetric spaces. Her recent publications demonstrate a strong focus on character varieties, compactifications, and the geometric structures underlying representation theory. The trend in her work shows increasing sophistication in connecting bounded cohomology with geometric structures, particularly through the study of maximal representations, geodesic currents, and their compactifications. Her research has evolved from foundational work in bounded cohomology to sophisticated applications in geometric group theory and higher Teichmüller theory. Professor Iozzi has been actively involved in organizing numerous academic activities including the Geometry Seminar at ETHZ, the "goMATH, Frauen machen Mathematik" initiative, and various international workshops on geometric group theory, Teichmüller theory, and related topics. She has collaborated extensively with leading mathematicians including Marc Burger, Anna Wienhard, and Nicolas Monod, among others.

Ionut Chifanمشاهده پروفایل

استاد

• Operator Algebras
• Ergodic Theory
• Group Theory
• +۱ مورد دیگر

Ionut Chifan is a Professor of Mathematics at the University of Iowa. His research focuses on operator algebras, ergodic theory, and group theory, with a particular emphasis on structural properties of von Neumann algebras associated with negatively curved groups and graph product groups. He earned his PhD from UCLA and has contributed extensively to understanding rigidity phenomena in operator algebras and group actions. Key research interests include: Superrigidity for von Neumann algebras Classification of II₁ factors Rigidity results for group von Neumann algebras with diffuse centers Structural analysis of graph product groups His work has explored topics such as quasinormalizers, outer automorphisms, and embeddings in von Neumann algebras. He has also investigated applications of small cancellation theory and geometric group theory to operator algebras. Notable contributions include foundational results on W*-superrigidity for wreath-like products and graph product groups. His research bridges connections between von Neumann algebras, geometric group theory, and continuous model theory. Chifan has collaborated on grants such as the NSF-funded project "FRG: Collaborative Research: von Neumann Algebras Associated to Groups Acting on Hyperbolic Spaces" (2019). His work often emphasizes the interplay between algebraic structures and functional analytic properties.

Simon Thomasمشاهده پروفایل

استاد

• Set Theory
• Model Theory
• Infinite Group Theory

Simon Thomas is a Distinguished Professor of Mathematics at Rutgers, The State University of New Jersey, specializing in set theory, model theory, and infinite group theory. He is actively involved in teaching and research, with a focus on classification problems in group theory and descriptive set theory. Research Interests Thomas's research spans a broad range of topics within mathematical logic and group theory. His primary interests include: Set Theory: Focus on foundational aspects and applications to group theory. Model Theory: Investigations into the structure of models and their implications for group classification. Infinite Group Theory: Study of infinite groups, particularly in the context of descriptive set theory and ergodic theory. His work often involves the interplay between logic and group theory, leading to significant contributions to understanding the complexity of classification problems for various classes of groups. Scientific Contributions Thomas has authored numerous papers on the classification of groups using tools from descriptive set theory and ergodic theory. His research includes studies on torsion-free abelian groups, finitely generated groups, and Borel equivalence relations. Notable contributions include work on the automorphism tower problem, superrigidity phenomena, and the complexity of isomorphism relations for various algebraic structures. Teaching and Mentorship Thomas teaches courses in set theory and logic at Rutgers, including Math 361: Set Theory. He also organizes the Rutgers Logic Seminar, a weekly meeting that brings together researchers in logic and related fields from around the world. The seminar covers topics in set theory, model theory, and applications to algebra and computer science.

Sai-Kee Yeungمشاهده پروفایل

استاد

• Complex Geometry
• Differential Geometry
• Several Complex Variables
• +۳ مورد دیگر

Roles & Affiliations Sai-Kee Yeung is a Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. He has held teaching roles, including MA166 and MA265 in Spring 2024, and leads the Geometric Analysis Seminar (2022-2023). Education Bachelor of Science, University of Hong Kong PhD in Mathematics, Columbia University Research Interests Yeung focuses on Complex Geometry , Differential Geometry , Several Complex Variables , and Algebraic Geometry . His work explores topics like fake projective planes, hyperbolicity, and arithmetic groups, with applications to moduli spaces and geometric analysis. Scientific Awards Sloan Research Fellow Fellow, American Mathematical Society JMSJ Outstanding Paper Prize (2013) for 'Non-existence of arithmetic fake compact Hermitian symmetric spaces' Key Contributions Yeung's research includes foundational work on fake projective planes, geometric superrigidity, and hyperbolicity of complex manifolds. He has contributed to understanding arithmetic structures in locally symmetric spaces and the geometry of moduli spaces. His recent work extends to Carathéodory hyperbolicity and symplectic 4-manifolds.

Rolando De Santiagoمشاهده پروفایل

دانشیار مدعو

• Operator Algebras
• von Neumann Algebras
• Functional Analysis
• +۳ مورد دیگر

Rolando De Santiago is an Adjunct Associate Professor of Mathematics at Purdue University, affiliated with the Department of Mathematics in the College of Science. His research focuses on operator algebras, von Neumann algebras, functional analysis, and group theory. He holds a PhD from the University of Iowa (2017) and has held postdoctoral positions at UCLA, including the UC Presidential Postdoctoral Fellowship (2018–2020). His work emphasizes classification of group von Neumann algebras via deformation/rigidity theory and explores structural properties like proper proximality, strong 1-boundedness, and graph products. He co-leads the Operator Algebras Seminar at Purdue and actively mentors students in quantum information theory and noncommutative geometry. Notable achievements include the Spira Award for Teaching and Mentoring (2023) and contributions to papers on quantum chromatic numbers, spectral gap characterizations, and wreath-like products. His research bridges operator algebras with geometric group theory, topology, and quantum computing applications. Education: PhD in Mathematics, University of Iowa (2017) MS in Mathematics, Cal Poly Pomona (2012) BS in Mathematics, Cal Poly Pomona (2012) Awards & Grants: UC Presidential Postdoctoral Fellowship (2018–2020) NSF-AGEP Supplemental Grant (2015–2016) GAANN Fellowship (2013–2015) Spira Award (2023) Research Themes: Von Neumann algebras, quantum graph coloring, group rigidity, operator system structures, and interdisciplinary applications in quantum information theory. Recent work includes quantum chromatic number bounds and spectral properties of noncommutative Poisson boundaries.

Bin Sunمشاهده پروفایل

استادیار مهمان

• Group Theory
• Operator Algebras
• Geometric Group Theory
• +۵ مورد دیگر

Bin Sun is a Visiting Assistant Professor in the Department of Mathematics at Michigan State University. His research focuses on advanced topics in group theory, operator algebras, and geometric group theory, with particular emphasis on von Neumann algebras, cohomology, and Dehn fillings. His work explores the interplay between algebraic structures and geometric/topological properties of groups. Key research interests include the study of wreath-like products of groups, Betti numbers of Dehn fillings, and superrigidity phenomena in von Neumann algebras. Recent publications highlight contributions to the understanding of group actions on hyperbolic spaces and the cohomological properties of negatively curved groups. His academic contributions span over a decade, with notable articles published between 2017 and 2025. Despite no explicit awards listed, his prolific publication record reflects sustained scholarly engagement in these specialized areas. Advising and grant information are not detailed in the provided text, but his departmental role suggests active participation in academic mentorship and research initiatives.

Caleb Eckhardtمشاهده پروفایل

دانشیار

• Operator Algebras
• Functional Analysis
• Group Theory
• +۳ مورد دیگر

Caleb Eckhardt is an Associate Professor in the Department of Mathematics at Miami University. His research focuses on operator algebras, particularly C*-algebras associated with groups and their structural properties. He holds a Ph.D. in Mathematics from the University of Illinois. Key research interests include the classification of C*-algebras, nuclear dimension, quasidiagonality, and the interplay between group theory and operator algebras. His work explores topics like Hilbert-Schmidt stability, virtually nilpotent groups, and Morita equivalence in k-graphs. Recent publications highlight contributions to understanding nuclear dimension for nilpotent groups, superrigidity of 2-step nilpotent groups, and the classification of C*-algebras generated by unitriangular group representations. Eckhardt’s articles often bridge abstract algebraic structures with functional analytic techniques, advancing foundational aspects of operator algebras. His research has been presented at significant events like the Great Plains Operator Theory Symposium. No scientific awards or grants are explicitly mentioned, though his prolific publication record underscores active scholarly engagement.

Daniel Studenmundمشاهده پروفایل

استادیار

• Geometric Group Theory
• Discrete Subgroups of Lie Groups
• Abstract Commensurator
• +۳ مورد دیگر

Daniel Studenmund is an Assistant Professor in the Department of Mathematics and Statistics at Binghamton University. His research lies at the intersection of geometric group theory and discrete subgroups of Lie groups, focusing on abstract commensurators and quantifying residual finiteness through invariants like Comm(G). PhD and MS in Mathematics from the University of Chicago BA in Mathematics from Haverford College His research explores the structure of finite-index subgroups, superrigidity, and cohomology of arithmetic groups using algebraic and geometric methods. Recent work includes studies on topological models of commensurators, surface group invariants, and growth rates of lattice functions. He has held positions supported by NSF Research Training Group grants at the University of Notre Dame and the University of Utah. His office contact is dstudenm@binghamton.edu and Binghamton University's address.

Michael Davisمشاهده پروفایل

استادیار مهمان

• Operator Algebras
• Von Neumann Algebras
• Group Theory
• +۳ مورد دیگر

Michael Davis is a Visiting Assistant Professor at the University of Iowa . He holds a Ph.D. from the University of Iowa, awarded in 2024. His research focuses on operator algebras, specifically exploring rigidity properties of von Neumann algebras associated with graph product groups. Recent work includes studies on superrigidity and structural automorphisms in this domain. Education: Ph.D., University of Iowa, 2024. Research interests include advanced topics in pure mathematics such as group theory, graph products, and the structural analysis of von Neumann algebras. His recent articles highlight innovations in rigidity theory and automorphism characterization within these algebraic frameworks. No scientific awards or funded grants are explicitly mentioned. Office hours for Spring 2025 are Mondays & Wednesdays 10:30 AM–12:00 PM and by appointment, located in W239 Adler Journalism Building.

• Mathematical Logic
• Descriptive Set Theory
• Infinite Group Theory
• +۳ مورد دیگر

Filippo Calderoni is an Assistant Professor of Mathematics at Rutgers University , specializing in Mathematical Logic , Descriptive Set Theory , and Infinite Group Theory . He earned his PhD in 2018 from the University of Turin under Luca Motto Ros. Prior to Rutgers, he held a Research Assistant Professor position at the University of Illinois Chicago (UIC) from 2019 to 2022 and a postdoctoral position at the University of Münster in Spring 2019. Research Focus: His work bridges abstract group theory with descriptive set theory, emphasizing complexity and classification problems in countable and uncountable structures. Grants: Currently supported by the NSF grant DMS-2348819. Teaching: Courses include Linear Algebra, Calculus II, and advanced topics in logic and descriptive set theory. Service: Organizes the Rutgers Logic seminar and co-organizes the Mid-Atlantic Mathematical Logic Meeting (MAMLS). Scientific Awards: NSF grant DMS-2348819