جست‌وجوی استاد و پژوهشگر

Lysenko Sergeyمشاهده پروفایل

استاد

• Geometric Langlands program
• Geometric representation theory
• Automorphic sheaves
• +۳ مورد دیگر

Sergey Lysenko is a Professor at the University of Lorraine , affiliated with the Institut Élie Cartan de Lorraine (IECL) and the GDR Algebraic and Geometric Lie Theory . His research centers on the geometric Langlands program and its connections to representation theory. Research Interests: Geometric Langlands program, automorphic sheaves, metaplectic groups, theta-lifting, geometric aspects of representation theory, and Satake equivalence. Students: Supervised three PhD students: Banafsheh Farang Hariri (2012), Lizao Ye (2019), and Ruotao Yang (2020), with ongoing collaborations in geometric representation theory. Publications: Over 30 works focusing on geometric Langlands, quantum groups, and automorphic periods, including key contributions to metaplectic Whittaker categories and theta-lifting. Grants: Coordinator of the ANR VARGEN project (Varieties of characters and generalizations) from 2013–2018. Teaching: Taught courses in algebra, topology, and bilinear algebra at University of Lorraine. Scientific Leadership: Active in seminars and workshops on geometric Langlands, including the Nancy–Paris 2010 seminar. Member of the geometry team at IECL and GDR Algebraic and Geometric Lie Theory .

Vincent Lafforgueمشاهده پروفایل

پژوهشگر

• Mathematics
• Algebraic Geometry
• Langlands Program
• +۶ مورد دیگر

Vincent Lafforgue is a CNRS Researcher at the Institute Fourier , Université Grenoble Alpes, specializing in Algebraic Geometry and the Langlands Program . His work bridges mathematical physics , K-theory , and non-Archimedean geometry . Notably, he proved the Baum-Connes conjecture for certain discrete groups and established global Langlands correspondence for function fields. Education : Lycée Louis-le-Grand, École normale supérieure, University of Paris Advisor : Jean-Benoît Bost His research spans geometric representation theory , operator algebras , and geometric group theory . Recent publications focus on Shtukas for reductive groups and their role in global Langlands parameterization. Earlier works include proofs of property (T) variants and counterexamples to the Baum-Connes conjecture. Scientific awards include: EMS Prize (2000) CNRS Silver Medal (2015) Breakthrough Prize in Mathematics (2019) Lafforgue served as Plenary Speaker at ICM 2018 and co-organized the 2010 meeting Groups and Large-Scale Geometry . His technical contributions extend to p-adic valuations and automorphic form eigenvalues .

Erlend Fornæss Woldمشاهده پروفایل

استاد

• Multiple complex variables
• Complex geometry
• Holomorphic functions
• +۲ مورد دیگر

Erlend Fornæss Wold serves as Head of Department at the Department of Mathematics, University of Oslo. His academic career centers on mathematical research with a focus on complex analysis and geometry. Wold's research primarily explores multiple complex variables, with significant contributions to holomorphic embeddings, Fatou-Bieberbach domains, Stein manifolds, and complex dynamics. His work consistently investigates the geometric and topological properties of complex domains, examining how analytic properties interact with structural features of complex spaces. His research has advanced theoretical understanding in several complex variables and related fields. Analysis of Wold's recent publications reveals a sustained focus on holomorphic mappings and embeddings, with particular attention to approximation theory, boundary behavior, and geometric properties of complex domains. His work frequently addresses fundamental questions about the structure of complex manifolds and the behavior of holomorphic functions within them. Wold maintains an active research program with extensive collaborations, particularly with leading mathematicians such as Franc Forstnerič and John Erik Fornæss. His publications span prestigious mathematics journals including International Mathematics Research Notices, Journal of Geometric Analysis, and Proceedings of the American Mathematical Society, demonstrating his significant contributions to the mathematical community.

• Foundations of Complex Systems
• Abelian Varieties
• Finite Fields
• +۵ مورد دیگر

Valentijn Karemaker is an Assistant Professor at the Faculty of Science, Utrecht University , specializing in the Mathematical Institute under the Fundamental Mathematics sub-unit. He focuses on the Foundations of Complex Systems , with particular expertise in Abelian Varieties , Finite Fields , Galois Representations , and Isogeny Classes . His research bridges theoretical mathematics and computational methods, notably contributing to problems like Hilbert's Tenth Problem and the Gauss problem for central leaves . He has published extensively in top-tier journals and co-authored significant surveys on local-global principles. Scientific Awards : NWO-Veni Award (2019) Westerdijk Award (2021-2022) Utrecht Young Academy (2021) NWO-XL Award (2022) NWO-Vidi Award (2023) Grants and Collaborations : He has received competitive NWO awards, hosted international researchers like Chia Fu Yu and Mihran Papikian, and contributed to editorial work for the American Mathematical Society.

Emilie Elkiærمشاهده پروفایل

مدرس

• Functional Analysis
• Operator Algebras
• Banach Algebras
• +۳ مورد دیگر

Emilie Elkiær is an academic staff member affiliated with the Department of Mathematics at the University of Oslo and holds a M.Sc. in Mathematics (2019) and B.Sc. in Mathematics (2017) from the University of Copenhagen . She has also completed a BA in Dance Teaching (2013) from the University of Dance and Circus, Stockholm. Teaching: Exercise sessions for courses including Linear Analysis, Linear Algebra, Discrete Mathematics, and Structures and Arguments at University of Oslo (2022–2025) and University of Copenhagen (2016–2017). Research: Focus on functional analysis, operator algebras, and representation theory of discrete and locally compact groups, with publications on themes like Property (T), Lp-representations, and exotic group C*-algebras. Organizational Leadership: Co-initiator of 'What is..?' seminars (ongoing) and former board member of Operator Algebra Mentor Network (2021–2023). Her recent publications in journals like Expositiones Mathematicae , Studia Mathematica , and Journal of Operator Theory explore connections between representation theory, geometric group properties, and operator algebraic structures. The work often addresses foundational questions in amenability, fixed-point properties, and classification of operator algebras. Emilie is actively involved in academic community building through co-organizing seminars and mentoring networks, reflecting her commitment to collaborative research in operator algebras and functional analysis.

Sören Kraußharمشاهده پروفایل

استاد

• Dirac and Laplace operator on manifolds
• Complex and hypercomplex analysis
• Slice monogenic functions
• +۸ مورد دیگر

Prof. Dr. Sören Kraußhar is a Professor in the Department of Mathematics and Mathematics Education at the Faculty of Educational Science, University of Erfurt. His office is located in Teaching Building 2, Room 109b. He is actively involved in research and teaching in advanced mathematical analysis, with particular expertise in hypercomplex function theory and its applications to physics and engineering problems. Prof. Kraußhar's research spans Dirac and Laplace operators on manifolds, complex and hypercomplex analysis, slice monogenic functions, harmonic and hypercomplex automorphic forms, parabolic partial differential equations, and non-commutative geometry. His work represents a sophisticated integration of pure mathematical theory with practical applications in physics, particularly in magnetohydrodynamics and quantum mechanics. He has developed significant theoretical frameworks for octonionic and quaternionic analysis that extend traditional complex analysis to more complex algebraic structures. His publication record demonstrates a consistent progression from classical complex analysis toward more advanced hypercomplex analysis, with notable contributions to octonionic Bergman and Szegö kernels, Cauchy formulas in discrete settings, and variational principles with applications to magnetohydrodynamic equations. His recent work shows increasing focus on fractional calculus applications within hypercomplex settings and eigenvalue problems for slice functions. Prof. Kraußhar maintains active collaborations with researchers including F. Colombo, D. Legatiuk, and I. Sabadini, resulting in publications in high-impact journals such as Complex Analysis and Operator Theory, Journal of Geometry and Physics, and Mathematical Methods in the Applied Sciences. His work continues to push theoretical boundaries while maintaining relevance to physical applications, particularly in differential equations and mathematical physics.

• Number Theory
• Automorphic Forms
• L-functions
• +۲ مورد دیگر

Brandon Bate is an Associate Professor of Mathematics at Houghton University, where he teaches courses such as Calculus I/II, Complex Analysis, Discrete Mathematics, Linear Algebra, and Number Theory. He earned his Ph.D. from Rutgers University (2013), M.A. from Boston College (2007), and B.S. from Houghton College (2004). His research focuses on number theory , particularly automorphic forms and L-functions, with emerging work in arithmetic dynamics. A 2009 publication in Experimental Mathematics explored statistical patterns in Frobenius classes, while a submitted manuscript addresses automorphic distributions. Brandon is affiliated with the Department of Mathematics at Houghton University and emphasizes teaching in the Christian liberal arts tradition. He previously served as a postdoctoral fellow at Tel Aviv University.

• automorphic forms
• representation theory
• number theory

Melissa Emory serves as an Assistant Professor in the Department of Mathematics at Oklahoma State University's College of Arts and Sciences. Previously, she held an NSF Postdoctoral Fellowship at the University of Toronto under James Arthur and completed her PhD at the University of Missouri in 2018 under Shuichiro Takeda. Her academic journey includes: PhD in Mathematics, University of Missouri (2018) Dr. Emory's research centers on automorphic forms, representation theory, and number theory, with specialized focus on the Gan-Gross-Prasad conjecture, Sato-Tate distributions, and general spin groups. Her work bridges abstract representation theory with concrete Diophantine problems, emphasizing multiplicity one theorems and endoscopic classification. She actively contributes to foundational questions in automorphic representations and their arithmetic applications. Analysis of her publications reveals consistent exploration of automorphic L-functions and their distribution properties, with recent work expanding into Jacobian varieties and Poisson summation techniques. Her research trajectory demonstrates increasing collaboration across international institutions while maintaining core focus on representation-theoretic approaches to number theory. Her scientific recognition includes: NSF Postdoctoral Fellowship As faculty adviser for the OSU Chapter of the Association for Women in Mathematics, she supports gender equity in mathematics. She organizes major conferences including the Automorphic Forms Workshop (2024), TORA XIV (2025), and the James Arthur Legacy Conference (2025), creating platforms for emerging researchers. Her teaching includes actuarial science courses with direct industry exam preparation components. Dr. Emory maintains active leadership in the automorphic forms community through conference organization, collaborative research, and mentorship initiatives that connect theoretical mathematics with practical career development.

Jiří Leblمشاهده پروفایل

استاد

• Complex Analysis
• CR Geometry
• Computer Science
• +۳ مورد دیگر

Jiří Lebl is a Professor in the Department of Mathematics at Oklahoma State University , where he has been since 2013. He holds a PhD from UCSD (2007) and MA/BA from SDSU (2001, 2003). His academic journey includes postdoctoral positions at UIUC (2007–2010), UW-Madison (2011–2013), and visiting roles at UCSD (2010–2011, 2020–2021). Research Focus : Complex analysis and CR geometry, with connections to computer science, quantum computing, algebraic geometry, and commutative algebra. Key topics include real analytic CR submanifolds, Levi-flat hypersurfaces, singular varieties, and proper holomorphic mappings between balls. Publications : Over 30 research articles, including recent work on Hermitian forms, Segre varieties, and intrinsic complexification of real-analytic structures. His 15 most recent articles (2025–2020) explore CR singularities, Levi-flat geometry, and computational methods. Awards & Grants : PI on Simons Foundation grant 710294 (2020–2025) and NSF grants DMS-1362337 (2014–2018) and DMS-0900885 (2009–2013). These grants focus on CR geometry, holomorphic mappings, and mathematical physics. Students & Mentorship : PhD graduates include Alekzander Malcom (2021), Achinta Nandi (2024), and current PhD candidate Abdullah Al Helal (expected 2026). Master’s students: Jianou Zhang (2017), Trevor Fancher (2020). Postdocs mentored include Sivaguru Ravisankar (2013–2016), Octavian Mitrea (2019–2021), and Luka Mernik (2021–2024). Teaching : Courses include Math 2233 (Differential Equations) and Math 4013 (Calculus of Several Variables) at OSU. He has also taught courses at UIUC, UCSD, and UW-Madison, ranging from undergraduate to graduate levels.

Jeffrey Adamsمشاهده پروفایل

استاد

• Lie Groups
• Representation Theory
• Algebraic Structures
• +۱ مورد دیگر

Jeffrey Adams is a Professor in the Department of Mathematics at the University of Maryland , specializing in Lie groups and representation theory . He serves as the Policy Coordinator for Information Technology within the department. University: University of Maryland Department: Mathematics Academic Rank: Professor Email: jda@math.umd.edu Research Interests: Adams' work focuses on computational methods in Lie theory, particularly through the Atlas of Lie Groups and Representations project. His research encompasses unitary representations , Kazhdan-Lusztig theory , and automorphic forms , with significant contributions to the computation of the Unitary Dual using the Atlas software. Scientific Contributions: His publications include foundational studies on real reductive groups, nonlinear simply laced groups, and Shimura correspondences. The atlas software developed by his team enables computation of complex Lie group structures, including unipotent orbits and affine root systems. Teaching: Adams has taught courses such as Math 401 (Applied Linear Algebra) , Lie Groups , and Representation Theory , with video lectures and outlines available for educational outreach.

• Number Theory
• Automorphic Forms
• Analytic Number Theory
• +۳ مورد دیگر

M Lee is a Lecturer and Royal Society University Research Fellow in the Pure Mathematics group at the University of Bristol's School of Mathematics, specializing in advanced number theory and automorphic forms. His work bridges theoretical frameworks with concrete applications in spectral analysis and equidistribution. Education: PhD from Columbia University M.Phil from Columbia University His research centers on modular forms, L-functions, and trace formulas, with significant contributions to equidistribution of rational points and Selberg class theory. He investigates weight-aspect murmurations, Bol operator analogues, and converse theorems, advancing connections between analytic and algebraic number theory through rigorous spectral methods. Recent publications (2023-2025) reveal a cohesive trajectory in automorphic forms, emphasizing modular form generalizations and trace formula applications. These works collectively strengthen theoretical foundations for equidistribution phenomena and spectral analysis in number theory. Scientific Awards: Royal Society University Research Fellowship Dr. Lee has supervised one research student and secured five competitive grants as Principal Investigator, including the active £500k Royal Society project 'Spectral Theory of Automorphic Forms: Trace Formulas and More' (2022-2025). His funded research consistently explores trace formulas, automorphic representations, and their arithmetic implications across four completed projects since 2018.

Filippo Bracciمشاهده پروفایل

استاد

• Geometric Function Theory
• Iteration Theory and Commuting Holomorphic Maps
• Holomorphic Foliations
• +۵ مورد دیگر

Filippo Bracci is a Full Professor at the Department of Mathematics , University of Rome Tor Vergata . His work focuses on geometric function theory, holomorphic dynamics, and complex analysis in higher dimensions, with applications to semigroups of holomorphic maps and Loewner equations. Research Interests include geometric function theory, iteration theory, holomorphic foliations, complex Monge-Ampère equations, and visibility properties in convex domains. He has contributed to understanding holomorphic evolution equations and their connections to dynamical systems. Grants : Principal Investigator for ERC Starting Grant 277691 (HEVO) and multiple PRIN projects (2007–2022) on complex manifolds and dynamics. Editorial Roles : Member of editorial boards for journals such as Computational Methods and Function Theory , Bulletin des Sciences Mathématiques , and Complex Analysis and Operator Theory . Leadership : Vice-President of INdAM (Istituto Nazionale di Alta Matematica) and involved in organizing seminars and academic programs.

• Operator Algebras
• Quantum Groups
• Functional Analysis
• +۱ مورد دیگر

Reiji Tomatsu is a Professor at Hokkaido University’s Faculty of Education and Integrated Arts and Sciences , specializing in Operator Algebras and Quantum Groups . His research focuses on the structural analysis of von Neumann algebras and their interactions with quantum symmetries. Education: PhD in Mathematical Sciences from the University of Tokyo. Research Interests revolve around quantum group actions, Rohlin flows, Haagerup approximation properties, and classification of operator algebras. He investigates infinite tensor product actions, coideals, and modular invariants, often leveraging functional analysis and mathematical physics frameworks. His recent publications emphasize quantum group dynamics and von Neumann algebra structures , including classification theorems for coideal $C^*$-algebras and fullness of type III factors. These works intersect with noncommutative geometry and representation theory. Grants: He has continuously received Japan Society for the Promotion of Science (JSPS) research grants since 2007, advancing studies on quantum group actions and operator algebraic symmetries. Teaching: Tomatsu delivers graduate-level courses in analysis, Fourier analysis, and mathematics education at Hokkaido University’s Graduate School of Education.

Ronnie Pavlovمشاهده پروفایل

استاد

• Ergodic Theory
• Dynamical Systems
• Symbolic Dynamics
• +۴ مورد دیگر

Ronnie Pavlov is a Professor in the Department of Mathematics at the University of Denver . His primary research areas include ergodic theory , dynamical systems , and symbolic dynamics , focusing on topics such as subshifts, entropy, and computational complexity in mathematical structures. Education & Positions: Ph.D. in Mathematics (2007) from Ohio State University; currently at University of Denver. Research Grants: Simons Foundation Collaboration Grant for Mathematicians. Research Trends in his publications involve subshifts of finite type, entropy properties, computability in dynamical systems, and dimension theory for amenable groups. Recent works explore measure-theoretic mixing , automorphism groups , and pressure in multidimensional systems. Scientific Awards include the Simons Foundation grant. His teaching spans courses like Calculus , Real Analysis , Measure Theory , and advanced topics in Symbolic Dynamics and Dynamical Systems .

Sharon M. Frechetteمشاهده پروفایل

دانشیار

• Number Theory
• Modular Forms
• Algebraic Combinatorics
• +۴ مورد دیگر

Sharon M. Frechette is an Associate Professor in the Department of Mathematics & Computer Science at the College of the Holy Cross, where she teaches across the undergraduate curriculum and develops innovative interdisciplinary seminars. Her educational background includes: Ph.D. in Mathematics from Dartmouth College (1997), thesis: "Decomposition of Spaces of Half-Integral Weight Cusp Forms" under Thomas Shemanske A.M. from Dartmouth College (1994) B.A. from Boston University (1988) with senior thesis advised by Paul Blanchard Frechette's research bridges number theory and combinatorics, with deep investigations into modular forms, L-functions, multiple Dirichlet series, and hypergeometric functions over finite fields. She explores connections between algebraic combinatorics and representation theory, and examines the relationship between elliptic curves and modular forms. Her work often reveals combinatorial structures within analytic number theory problems, particularly through the lens of Hecke operators and their traces. Analysis of her publication timeline (2000-2018) shows evolution from foundational work on half-integral weight modular forms to sophisticated studies of multiple Dirichlet series and finite-field hypergeometric functions, with consistent emphasis on combinatorial interpretations of number-theoretic objects. As an educator, Frechette has created the distinctive Montserrat cryptology sequence combining historical narrative with mathematical rigor, and regularly teaches advanced courses like Modern Algebra and Number Theory. Her commitment to undergraduate research is evident through supervision of senior theses and development of course-based research opportunities.