Tao Mei is a Professor of Mathematics at Baylor University, joining in August 2015. Prior to Baylor, he held faculty positions at Wayne State University (2010-2015) and the University of Illinois at Urbana-Champaign (2006-2010). He earned his Ph.D. in Mathematics from Texas A&M University in 2006 under Gilles Pisier. Research Focus: Analysis and probability, particularly noncommutative analysis, free probability, harmonic analysis, and operator algebras. Grants: Supported by NSF awards DMS-2247123 and DMS-2400113. Mei's work bridges operator theory, functional analysis, and quantum probability. His recent publications emphasize Fourier multipliers, maximal inequalities, and noncommutative harmonic analysis. He has mentored PhD students including Chian Y. Chuah, Zhen C. Liu, and Sebastian Vargas Loaiza. He co-organizes international seminars such as the Virtual Noncommutative Analysis Weekly Seminar and leads the Brazos Analysis seminar, supported by NSF DMS-2400113. His invited lectures span institutions like UCSD, Ohio State University, and Ghent University, highlighting his contributions to quantum information theory and operator analysis.
Alina Vdovina is a Professor of Mathematics at The City College of New York (CCNY) and a member of the doctoral faculty at the CUNY Graduate Center. Her office is located at North Academic Center 8/201, with an alternative listing showing MR 333, and she can be reached at (212) 650-5161 or via email at avdovina@ccny.cuny.edu. Dr. Vdovina's research focuses on Geometric Group Theory and its interactions with Dynamical systems, K-theory of C*-algebras, and Knot Theory. Her work bridges multiple mathematical disciplines, exploring the connections between algebraic structures, geometric representations, and topological properties. She has made significant contributions to the understanding of higher-rank graphs, cube complexes, and their applications in operator algebras. Her recent publications demonstrate a consistent focus on the interplay between geometric structures and algebraic properties, with particular attention to how group-theoretic concepts manifest in topological and combinatorial settings. Her work spans theoretical developments in group theory, applications to operator algebras, and connections to discrete mathematics. Dr. Vdovina is actively involved in mentoring students, with recent successes including Kadar He moving to the PhD program at CUNY's Graduate Center, Nicholas Videen transitioning from musician to CCNY mathematics graduate, and Joshua Bourne-Inniss advancing from community college to CCNY mathematics graduate degree. Her research presentations include "Groups acting on buildings and their subgroups" at GAGTA 2025 and "C*-algebras coming from buildings and their K-theory" at the Conference on Analytic Group Theory in Austin, Texas.
Fanny Kassel is a CNRS Research Director at the Institute of Advanced Scientific Studies (IHES), focusing on geometric, dynamical, and spectral aspects of discrete subgroups of Lie groups. Her work connects discrete group actions on homogeneous spaces with geometric structures on manifolds, such as pseudo-Riemannian and projective geometries, and higher Teichmüller-Thurston theory. Her research spans topics like convex projective geometry, Anosov representations, and pseudo-Riemannian hyperbolic spaces. She has been recognized with the CNRS Bronze Medal (2015), an ERC Starting Grant (2016), and the Mathematics Medal of the French Academy of Sciences (2024). She actively organizes workshops and contributes to editorial boards, including Mathematics of the IHES and Gazette de la SMF . Her recent publications highlight advancements in convex projective geometry, spectral theory, and discrete group dynamics. Awards and grants underscore her influence in geometric group theory and related fields.
Dr. Paul Mitchener is a Lecturer at the University of Sheffield within the School of Mathematical and Physical Sciences . He serves as the MSc Mathematics Admissions Tutor and Course Director , contributing to both research and postgraduate education. His research lies at the intersection of Algebraic Topology and Functional Analysis , with a focus on non-commutative geometry, K-theory, index theory, and coarse geometry. He has explored applications of these areas to problems in operator algebras and topology, particularly through work on the Baum-Connes conjecture, Novikov conjecture for semigroups, and coarse homotopy groups. The 15 most recent publications highlight trends in his work: (1) Coarse Geometry (2020, 2001), (2) Novikov Conjecture (2018, 2011), (3) KK-Theory and C*-Categories (2002, 2007), (4) E-Theory (2020), and (5) Descent Techniques (2012, 2010). These works frequently involve analytical methods in topological problems.
Professor Zdzislaw Brzezniak is a Professor in the Department of Mathematics at the University of York, where he has been since 2005. He holds a PhD in PDEs from Jagellonian University, Krakow (1988). His research focuses on stochastic partial differential equations (SPDEs), turbulence, geometric analysis, and harmonic analysis, with notable contributions to Navier-Stokes and Euler equations. He has organized major international workshops, including events on stochastic PDEs at ICMS (Edinburgh) and the Isaac Newton Institute. Education: PhD in PDEs (Jagellonian University, 1988). Research Interests: SPDEs, stochastic geometric problems (e.g., Landau-Lifshitz equations), fluid dynamics, and applications in physics. His work bridges pure and applied mathematics, influencing theoretical frameworks in micromagnetism and quantum field theory. Key Awards: 2013 Best Paper Award, 1st Prize, Institute of Information Theory and Automation. Supervision: Advised over 10 PhD students, including Nimit Rana (2019) and Fabian Hornung (2018). Current students include Asma Alalyani and Hessa Alharbi. Active in mentoring across stochastic analysis and geometric PDEs. Labs/Groups: Member of Mathematical Finance and Stochastic Analysis Research Group, and Geometry and Analysis Research Group at the University of York.
Nikos Frantzikinakis serves as a Professor in the Department of Applied Mathematics within the Theoretical Mathematics School at the University of Crete. His office is located in room C-307 with contact number 39-3853 and email frantzikinakis@uoc.gr. His academic credentials include: Ph.D., Stanford University, 2002 Professor Frantzikinakis specializes in ergodic theory, focusing on convergence and multiple regression theorems alongside analytical methods in combinatorics and number theory. His research bridges dynamical systems with additive combinatorics, particularly investigating recurrence phenomena in multiplicative functions and polynomial sequences. He has pioneered approaches connecting Furstenberg systems to number-theoretic structures, significantly advancing understanding of multiple recurrence in non-commuting transformations and partition regularity problems. Analysis of his recent publications reveals consistent exploration of ergodic-theoretic structures applied to combinatorial number theory. Key trends include recurrence along generalized Pythagorean triples, joint ergodicity for commuting transformations, and partition regularity of quadratic forms. His work demonstrates sophisticated integration of harmonic analysis, nilsequence theory, and multiplicative function correlations, with notable emphasis on the Chowla conjecture and Erdős discrepancy problems through ergodic frameworks. He maintains active research within the Applied Mathematics Laboratory at the University of Crete, contributing to theoretical mathematics through both individual scholarship and collaborative academic infrastructure.
Mark Kambites is a Professor of Pure Mathematics at the University of Manchester , affiliated with the Department of Mathematics. His research focuses on semigroup theory, tropical algebra, geometric group theory, and formal languages. He holds roles including membership in the EPSRC Strategic Advisory Team (SAT) and editorial positions in journals like the International Journal of Algebra and Computation. Education: M.Math. Mathematics and Computer Science, University of York (2000) Ph.D. Pure Mathematics, University of York (2003) Research Interests: Kambites explores semigroup structures, tropical algebra's applications, and interactions between algebra and geometry. Key areas include matrix semigroups over tropical semifields, combinatorial group theory, and computational complexity. His work bridges pure mathematics and theoretical computer science. Grants and Collaborations: Leads the Centre for Digital Trust and Society (EPSRC-funded) and collaborates internationally. Serves as central organizer of the North British Semigroups and Applications Network (NBSAN). Affiliations: Active in the Algebra Group, Tropical Mathematics Group, and Data Science Institute at Manchester. Supervises PhD/MSc students in algebraic and computational mathematics.
Yuan Gao is an Assistant Professor of Mathematics at Purdue University's Department of Mathematics (College of Science). His research focuses on analysis and computations of PDEs in materials science, biology, and microfluidics, with recent emphasis on optimal control, Hamilton-Jacobi equations, and non-equilibrium chemical reactions. His work is supported by NSF awards DMS-2204288 and DMS-2440651. Previously, he held the William W. Elliott Assistant Research Professor position at Duke University (2019-2021). Research interests include PDE analysis in materials science (crystal growth, dislocation dynamics), numerical methods for interface dynamics, applied stochastic analysis (Langevin dynamics, transition path theory), and mean-field games for fluid systems. He organizes the PSU-Purdue-UMD Joint Seminar on Mathematical Data Science. Key publications span topics like dislocation evolution, Wasserstein gradient flows, and stochastic algorithms for rare events. Awards include NSF CAREER funding recognizing his contributions to mathematical analysis of non-equilibrium systems.
Max Fathi is a Professor of Mathematics at Université Paris Cité, affiliated with the Laboratoire Jacques-Louis Lions (LJLL) and Laboratoire de Probabilités, Statistique et Modélisation (LPSM). He concurrently holds a part-time teaching position at the Department of Mathematics and Applications (DMA) at École Normale Supérieure (ENS). Since 2023, he has been a member of the Institut Universitaire de France (IUF), a prestigious national research fellowship in France. He completed his PhD in 2013 at Université Pierre et Marie Curie under Cédric Villani, followed by a postdoctoral position at the University of California, Berkeley with Lawrence C. Evans and Fraydoun Rezakhanlou. Previously, he was a CNRS researcher at the Institut de Mathématiques de Toulouse before joining Université Paris Cité. His habilitation thesis (2019) focuses on optimal transport applications in analysis and probability. Fathi's research centers on optimal transport theory, particularly its applications to analysis, probability, and statistical physics. Key topics include interacting particle systems, functional inequalities (e.g., Poincaré, log-Sobolev), high-dimensional phenomena, Ricci curvature in discrete/continuous spaces, Stein's method, concentration of measure, and numerical methods for stochastic dynamics. His work is supported by the ANR project 'Conviviality.' He has delivered courses on functional analysis at ENS and participated in summer schools, including an MSRI course on functional inequalities and localization techniques. His teaching materials include lecture notes on optimal transport and stochastic processes. His contributions have been recognized through awards such as the IUF membership. Notable research collaborations include work with Thomas Courtade, Matthias Erbar, and Gabriel Stoltz on topics ranging from stability estimates of inequalities to hypocoercivity and numerical analysis of stochastic systems.
Stevan Pilipović is a Full Professor at the Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad. His research spans generalized functions, integral transforms, pseudodifferential operators, and fractional calculus. He holds a PhD in Mathematics from the University of Novi Sad (1979) and has led key academic roles, including editorships in journals like Integral Transforms and Special Functions and Pseudo-Differential Operators and Applications . Education: BSc in Mathematics, University of Novi Sad (1973) MSc in Mathematics, University of Belgrade (1977) PhD in Mathematics, University of Novi Sad (1979) Professional Activities: Leader of the Generalized Product and Integral Transformations seminar Editorial roles in multiple international journals Supervisor of numerous research projects in functional analysis and mathematical physics Research Interests: Pilipović’s work emphasizes microlocal analysis, fractional calculus in viscoelasticity, and stochastic PDEs. Key contributions include monographs on generalized functions and Fourier analysis, with over 400 publications. His research bridges pure mathematics (e.g., ultradistribution theory) and applications in mechanics and signal processing. Grants and Collaborations: Active in international collaborations, including projects on fractional Zener models and stochastic dynamics. His work frequently intersects with engineering and physics, addressing real-world problems in material science and wave propagation.
Christa Cuchiero is a Professor at the Department of Statistics and Operations Research , University of Vienna , and an elected member of the Austrian Young Academy (Junge Akademie) since 2020. Her research bridges rigorous mathematics and cutting-edge applications in finance, machine learning, and stochastic analysis. Education: Christa earned her M.Sc. in 2006 from TU Wien with a thesis on affine interest-rate models, her Ph.D. in 2011 from ETH Zürich on affine and polynomial processes, and completed her Habilitation at the University of Vienna in 2018 on high-dimensional finance beyond classical paradigms. Research Interests: Her work centers on affine and polynomial processes , stochastic portfolio theory , signature methods , and infinite-dimensional stochastic analysis . Recent projects explore signature-based neural SDEs for option calibration, measure-valued diffusions for energy markets, and universal approximation properties of signature transforms. Awards & Recognition: Among her accolades are the FWF START Award 2019 , the Bruti-Liberati Visiting Fellowship 2018 , the ETH Medal 2012 for an outstanding Ph.D. dissertation, and the Prix de l’Institut Europlace de Finance 2017 for the best paper in finance. Contact: christa.cuchiero@univie.ac.at , Kolingasse 14-16, 05.47, 1090 Wien, Austria.
Chris Monico is an Associate Professor in the Department of Mathematics & Statistics at Texas Tech University . He has been a faculty member there since 2003, following post-doctoral research at the University of Notre Dame. Education B.S. in Mathematics – Monmouth University M.S. in Mathematics – University of Notre Dame Ph.D. in Mathematics – University of Notre Dame Research Focus Monico’s scholarship centers on the intersection of cryptology , computational algebra , and number theory . A significant recent thrust has been the application of machine-learning techniques to mathematical finance , evidenced by work on random-forest models for option pricing and high-frequency trading risk metrics. Parallel lines of inquiry include post-quantum cryptographic schemes built on tropical algebra and semigroup actions, as well as classical problems in Ramsey theory and combinatorial semigroups . Publication Trends Between 2015 and 2025 Monico has published prolifically, with a clear shift around 2020 toward mathematical finance and machine-learning applications , alongside continued output in algebraic cryptanalysis and combinatorics . His 2024–2025 articles emphasize data-driven models in trading, whereas 2020–2021 works concentrate on cryptanalyses of tropical and group-based key-exchange systems. Earlier contributions focus on computational number theory and semigroup-based cryptography. Contact Information Email: c.monico@ttu.edu Phone: 806-834-4144 Office: Department of Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409-1042 Advising & Grants No specific doctoral or master’s students, funded grants, or named awards are detailed in the provided text. Laboratory or Research Group The text does not mention any dedicated laboratory or research group.
Jesus Garcia Falset is a Full Professor in the Department of Mathematical Analysis at the Faculty of Mathematics, University of Valencia, Spain. He has been an active researcher since the early 1990s, with a primary focus on nonlinear functional analysis and fixed point theory in Banach spaces. Doctorate: University of Valencia (1990), thesis on Banach spaces and fixed point properties. Position: Catedrático de Universidad (Full Professor). Department: Mathematical Analysis. Faculty: Faculty of Mathematics. Email: jesus.garcia@uv.es. Homepage: https://www.uv.es/garciaf/ . His research lies at the intersection of functional analysis, operator theory, and differential equations. Key interests include fixed point theory for nonexpansive and generalized nonexpansive mappings, geometric properties of Banach spaces (such as uniform nonsquareness and normal structure), measures of noncompactness, accretive operators, and nonlinear semigroups. He has made significant contributions to the understanding of conditions under which Banach spaces possess the fixed point property. His work often involves the application of topological and geometric methods to prove existence results for differential and integral equations in infinite-dimensional spaces. The 15 most recent articles highlight a consistent research trajectory in nonlinear functional analysis. They explore fixed point theorems for various classes of mappings (pseudocontractive, multivalued, generalized nonexpansive), the role of measures of noncompactness, and applications to differential equations in Banach spaces, including models for cell population growth. There is a strong emphasis on existence, uniqueness, and well-posedness of solutions using abstract functional-analytic frameworks. While specific scientific awards are not mentioned in the provided text, his extensive publication record (66 publications, including a book), high citation count (over 800 citations in zbMATH), and long-standing professorship indicate significant recognition within the mathematical community. Dr. Garcia Falset has supervised or collaborated with several researchers, including notable co-authors like Enrique Llorens-Fuster, David Ariza-Ruiz, Khalid Latrach, and Simeon Reich. His collaborative work spans topics in fixed point theory, differential equations, and operator theory. No specific grants or funding sources are mentioned in the provided information. He is associated with the research group in Mathematical Analysis at the University of Valencia. His work contributes to the theoretical foundations used in mathematical biology and dynamical systems, particularly through the analysis of evolution equations. His homepage and presence in zbMATH, MGP, and Wikidata reflect an active academic profile.
Pere Ara Bertran is a Professor in the Department of Mathematics at the Universitat Autònoma de Barcelona (UAB). He has held academic roles including Titular Numerario (1987–1998) and Profesor Colaborador (1983–1987). His research focuses on ring theory, C*-algebras, and their interactions with dynamics and combinatorics. He has led multiple projects funded by institutions like the Spanish Ministry of Economy and Competitiveness (MINECO) and the European Regional Development Fund (FEDER). Education: Ph.D. in Mathematical Sciences (UAB, 1986); Degree in Mathematical Sciences (UAB, 1981) Projects: CLASSIFICATION, STRUCTURE, AND REGULARITY PROPERTIES OF RINGS, MODULES, C*-ALGEBRAS, AND DYNAMICS (2024–2027); ANILLOS, MODULOS, C*-ALGEBRAS, Y DINAMICA: CLASIFICACION, ESTRUCTURA FINA Y REGULARIDAD (2021–2024) His work explores topics like Cuntz semigroups, regular rings, and monoids, with contributions to algebraic structures and functional analysis. He collaborates internationally on projects bridging algebra, topology, and dynamics.
Ivan Vladimirovich Arzhantsev serves as Dean of the Faculty of Computer Science and Professor at the Department of Big Data and Information Retrieval at the National Research University Higher School of Economics (HSE University). He also heads the Research Laboratory of Algebraic Transformation Groups and is a member of the Academic Council of HSE University. Having joined HSE in 2011, he has over 20 years of scientific and teaching experience in mathematics and computer science. Dean: Faculty of Computer Science Professor: Faculty of Computer Science / Department of Big Data and Information Retrieval Leading Researcher, Head of Laboratory: Faculty of Computer Science / Research Laboratory of Algebraic Transformation Groups Member of the Academic Council of the National Research University Higher School of Economics Arzhantsev's educational background includes a Specialist degree in Mathematics and Applied Mathematics from Moscow State University (1995), a Candidate of Physical and Mathematical Sciences degree (1998), and a Doctor of Physical and Mathematical Sciences degree (2011), all from Moscow State University. He was awarded the academic title of Associate Professor in 2009 and Professor in 2020. His research focuses on Algebraic Geometry, Transformation Groups, Algebraic Groups, and Geometric Invariant Theory. Arzhantsev's work explores homogeneous spaces, flexible varieties, infinite transitivity, locally nilpotent derivations, and algebraic monoids. His research has significant implications for understanding the structure and classification of algebraic varieties and their automorphism groups. He has developed important connections between algebraic geometry and combinatorial methods, particularly in the context of toric varieties and group actions. His work on the pigeonhole principle demonstrates applications to geometric problems, bridging discrete mathematics with algebraic geometry. Arzhantsev's recent publications demonstrate a consistent focus on affine varieties, transformation groups, and geometric structures. His work shows a progression from foundational studies of homogeneous spaces to more complex structures involving flexible varieties and infinite transitivity. The research spans both theoretical developments and practical applications in algebraic geometry, with several papers exploring connections between different mathematical structures through group actions. Medal 'Recognition - 10 years of successful work' of HSE University (July 2025) Honorary Certificate of the Ministry of Science and Higher Education of the Russian Federation (December 2024) Honorary Certificate of HSE University (March 2024) Letter of Gratitude from the Rector of HSE University (February 2023) Best Teacher - 2019, 2015 Laureate of the All-Russian Prize 'Dean of the Year' in Physical and Mathematical Sciences (2024) Arzhantsev has supervised numerous PhD students, including Y. I. Zaitseva, I. S. Beldiev, and K. V. Shakhmatov, among others. He leads multiple research grants, including the Russian Science Foundation grant 'Demazure Roots and Root Subgroups' (2025-2027) and the Russian-Indian grant 'Study of Affine Spaces and Related Objects Using Algebraic Transformation Groups and Locally Nilpotent Derivations' (2022-2024). His research has been supported by various prestigious funding sources including the Russian Foundation for Basic Research and the 'Basis' Foundation. He directs the Research Laboratory of Algebraic Transformation Groups at HSE University, which organizes the annual 'Algebraic Groups: White Nights Season' conference in St. Petersburg. The laboratory focuses on advanced research in algebraic transformation groups, homogeneous spaces, and related geometric structures, fostering international collaboration and training the next generation of mathematicians.
