Jordi Guàrdia Rúbies is a Professor in the Department of Mathematics at the Universitat Politècnica de Catalunya (UPC), affiliated with the Faculty of Mathematics and Statistics (FME). He is a member of the UPC's STNB research group (Seminari de Teoria de Nombres de Barcelona), specializing in Number Theory and Algebraic Geometry. His work bridges theoretical research with educational innovation, particularly in Open Educational Resources (OER) for STEM fields. Affiliations: UPC, STNB Group, FME. Research Interests: Computational Algebra, Valuation Theory, Modular Forms, Mathematics Education. Recent research focuses on OER development, with contributions to collaborative platforms like Gate2Math. He has published extensively in journals like Journal of Algebra and Foundations of Computational Mathematics , addressing topics such as polynomial factorization over Henselian fields and valuation theory applications. Key awards include the Distinció Vicens Vives and UPC Quality Teaching Prize. He leads projects on OER quality assessment and has collaborated on EU-funded initiatives like the Erasmus+ Gate2Math program. His teaching contributions include innovative projects like Aprenentatge de l’Estadística basat en casos pràctics transversals , emphasizing practical case studies in statistics education.
Jennifer Johnson-Leung serves as Professor in the Department of Mathematics and Statistical Science within the College of Science at the University of Idaho, with additional affiliation as Participating Faculty at the Institute for Modeling Collaboration and Innovation under the Office of Research and Economic Development. Her academic credentials include: PhD in Mathematics from the California Institute of Technology (2005) BS in Chemistry and Mathematics from the College of William and Mary (1998) Professor Johnson-Leung maintains a dual research focus bridging pure mathematics and applied epidemiology. In theoretical mathematics, she investigates Siegel modular forms, paramodular forms, Hecke algebras, and representation theory, advancing understanding of automorphic forms and their connections to algebraic geometry. Her applied work develops spatial statistical models for sociodemographic risk assessment in public health crises, particularly during the COVID-19 pandemic, utilizing techniques like elastic net regression to analyze vaccination behavior and mortality patterns. Analysis of her recent publications reveals equal emphasis on deep theoretical number theory problems and urgent public health applications. The mathematical works explore structural properties of modular forms and representation theory, while epidemiological studies dissect complex interactions between political ideology, social vulnerability, and pandemic outcomes across U.S. populations. No specific scientific awards were documented in the provided materials. Information regarding graduate student advising and research grant funding remains unspecified in the available documentation. No dedicated research laboratories or specialized collaborative teams were mentioned in the source materials.
John Voight is a Professor in the School of Mathematics and Statistics at the University of Sydney, where he is also a member of the Algebra and Computational Algebra groups. His research focuses on arithmetic algebraic geometry, modular forms, and computational number theory. He collaborates with the Magma computational algebra system development team and contributes to databases like the LMFDB. Affiliations: University of Sydney (2024–present), Dartmouth College (2007–2024), University of Vermont (2007–2013). Key research interests include modular curves, Shimura varieties, elliptic curves, and abelian varieties. He explores algorithmic methods for computing with algebraic structures, such as quaternion algebras and ideal class groups. Publications span over 90 articles, including works on Hilbert modular forms, Belyi maps, and paramodular varieties. Notable achievements include the Selfridge Prize (2010 and 2018) and Simons Foundation grants. He advises numerous PhD students and has contributed to major projects like the LMFDB, advancing computational tools for number theory.
Stefan Petrov Ivanov is a Professor of Mathematics at the Department of Geometry, Faculty of Mathematics and Informatics, University of Sofia 'St. Kliment Ohridski'. He holds a Dr.Sci. (Doctor of Mathematical Sciences) from the same institution (2006) and has been a faculty member since 1988. His academic career includes significant collaborations through the European Differential Geometry Endeavour (EDGE) network and multiple visiting professorships at institutions including Humboldt University, University of Pennsylvania, and ICTP Trieste. Dr.Sci. (2006), University of Sofia Ph.D. (1987), University of Sofia (Thesis: Linear connections on a smooth manifold with structures) M.S. (1982) and B.S. (1980), University of Sofia Ivanov's research spans differential geometry with emphasis on quaternionic geometry, CR structures, and applications to string theory. His work on the quaternionic contact Yamabe problem represents a major contribution to geometric analysis. He has developed novel connections between exceptional holonomy manifolds, Dirac operators, and heterotic string compactifications, particularly focusing on non-Kähler solutions with fluxes and non-constant dilaton fields. His research integrates deep geometric insights with mathematical physics applications, especially in supersymmetric string backgrounds. Professor Ivanov has supervised 14 Master's dissertations and 5 Ph.D. theses, including prominent students like Bogdan Alexandrov and Ivan Minchev. His research has been supported by major grants including the EU EDGE network, NSF Bulgaria contracts (DO 02-257/2008, DID 02-39/2009), and collaborations with US institutions like the University of Pennsylvania and University of New Mexico. He serves as editor for Annals of Global Analysis and Geometry and has organized significant conferences including the Black Sea EDGE-Workshop (2003) and Geometric Structures in Mathematical Physics (2011).
Peter Massopust is a Privatdozent at the Technical University of Munich (TUM), where he is affiliated with the School of Computation, Information and Technology and the Department of Mathematics. His research spans multiple areas of mathematical analysis with a focus on fractal geometry, wavelet theory, and approximation methods. His educational background includes: Habilitation in 2011 from Technical University of Munich Ph.D. in Applied Mathematics from Georgia Institute of Technology (1986) MS in Mathematics from Georgia Institute of Technology (1985) MS in Physics from Georgia Institute of Technology (1981) Dr. Massopust's research interests primarily focus on Wavelets and Frames, Harmonic and Functional Analysis, Fractal Geometry and Fractal Interpolation Theory, and Splines and Approximation Theory. His work bridges theoretical mathematics with practical applications in signal processing, image analysis, and computational methods. His approach often combines classical mathematical techniques with innovative fractal-based methods to solve complex problems in approximation theory and functional analysis. His research has significantly contributed to the development of fractal interpolation functions, complex splines, and wavelet theory, with applications spanning from pure mathematics to engineering problems. His publication record demonstrates a consistent focus on fractal-based mathematical methods, with recent work expanding into quaternionic analysis, complex B-splines, and applications in signal processing. His research shows a clear trajectory from foundational work in fractal geometry to increasingly sophisticated applications in multidimensional signal analysis and computational mathematics. His scientific achievements have been recognized through several prestigious awards: Fulbright Scholarship (1980-1981) GIAN (Global Initiative for Academic Network) Award from the Republic of India (2016, 2017) Dr. Massopust has secured substantial research funding from various national and international sources, including the German Research Foundation (DFG), Bayerische Forschungsallianz, VolkswagenStiftung, and collaborations with Sandia National Laboratories and the National Science Foundation. His research program has consistently focused on advancing mathematical methods for signal and image processing, with particular emphasis on fractal-based approaches and wavelet theory. He has also been instrumental in fostering international collaborations, particularly through the EuroTech network and with institutions in Australia and India. Among his notable contributions is the GHM (Geronimo-Hardin-Massopust) Scaling Vector and DGHM (Donovan-Geronimo-Hardin-Massopust) Multiwavelet, developed at the Georgia Tech Research Institute in 1995. This work has had significant impact in the field of wavelet analysis and its applications.
Dimitar Jetchev is a Swiss National Science Foundation Professor in number theory, arithmetic algebraic geometry, and mathematical cryptology at the School of Basic Sciences, EPFL. He leads the GR-JET research group and holds positions in the Mathematics Section (TAN) and SMA-GE unit. University of California at Berkeley, Ph.D. in Mathematics (2008) Harvard University, B.A. in Mathematics (2004) Jetchev's research spans number theory and cryptography, focusing on elliptic curves, Selmer groups, Euler systems, Heegner points, and complexity analysis of cryptologic algorithms. His work bridges pure mathematics and cryptographic applications like ECC and symmetric key protocols. His recent publications analyze isogeny graphs of abelian varieties, discrete logarithm problems in genus 2, equidistribution phenomena, and Euler systems. These works explore connections between automorphic representations, unitary groups, and cryptologic algorithms. Swiss National Science Foundation Professor Jetchev has advised PhD students including Boumasmoud Mohamed Réda, Dudeanu Alina, and Vuille Marius Lorenz. His research group GR-JET collaborates with institutions like IHES and EPFL's LACAL lab. He works on unitary Shimura varieties, special cycles, and their applications to Iwasawa theory and the Bloch-Kato conjecture. The GR-JET group investigates isogeny-based cryptosystems and algorithmic improvements in discrete logarithm computations.
Alex Waldron is an Assistant Professor in the Department of Mathematics at the University of Wisconsin–Madison. His research focuses on geometric analysis, particularly the interplay between differential geometry and nonlinear PDEs. His recent work includes studies on Yang-Mills flow, harmonic maps, and G2-instantons on the 7-sphere. He has delivered lectures on topics such as the quaternionic Hopf fibration and developments in Yang-Mills flow. Research areas: Differential Geometry, Special Holonomy, Geometric PDEs Key lectures: G2-instantons on S^7 , Recent developments in Yang-Mills flow His publications highlight advancements in Uhlenbeck compactness, Lojasiewicz inequalities, and regularity theory for geometric flows.
Craig van Coevering is an Associate Professor in the Department of Mathematics at Boğaziçi University. He holds a Ph.D. from Stony Brook University (2006), an M.S. from Portland State University (1998), and a B.A. from Reed College (1993). His primary research focuses on differential geometry, particularly complex and Riemannian geometries. His work explores deformation theory, stability analysis, and geometric structures including Calabi-Yau metrics, Sasakian manifolds, and extremal Kähler metrics. Research integrates techniques from partial differential equations, geometric analysis, and algebraic geometry to investigate Ricci-flat spaces, toric varieties, and hyperkähler manifolds. Publications demonstrate consistent focus on geometric flows, Einstein metrics, and non-compact manifolds, with recent emphasis on variational methods and CR geometry. No awards or student advising details are provided.
Gergely Zábrádi is an Associate Professor and Head of the Department of Algebra and Number Theory at the Institute of Mathematics, Eötvös Loránd University (ELTE), Budapest. He earned his PhD from Trinity College, University of Cambridge, and conducted postdoctoral research at Westfälische Wilhelmsuniversität Münster. His academic focus lies at the intersection of algebraic number theory, Iwasawa theory, and the p-adic Langlands programme. Education: PhD in Mathematics, Trinity College, University of Cambridge (2008) Habilitation, Eötvös Loránd University (2016) Research Interests: Zábrádi's research spans algebraic number theory , particularly noncommutative Iwasawa theory for elliptic curves, and the p-adic Langlands programme . He explores deep connections between Galois representations , automorphic forms , and L-functions , utilizing tools like (φ,Γ)-modules and perfectoid spaces . Publications Overview: His recent work includes studies on generalized Montréal functors , matrix Kloosterman sums , and sup-norm problems for automorphic forms. These publications reflect a consistent engagement with foundational questions in arithmetic geometry and representation theory. Advising and Grants: Zábrádi has supervised numerous PhD, Master's, and Bachelor's theses, guiding students through topics ranging from Iwasawa theory to p-adic Galois representations . His mentorship has produced award-winning research, including first-prize recognition at the Hungarian Student Research Competition (OTDK). Research Groups and Labs: He leads a vibrant research group at ELTE, fostering collaboration with international scholars and participating in networks like the CENTRAL programme. His team focuses on advancing the p-adic Langlands correspondence and related arithmetic questions.
Brent Everitt is a Professor in the Department of Mathematics at the University of York, where he has been since 1999. He holds a Readership position and has previously held roles such as Senior Lecturer. His academic journey includes undergraduate studies at the University of Auckland, followed by postgraduate degrees at the University of Toronto and the University of Auckland. Before joining York, he held positions at the Universities of Aberdeen, Warwick, and Durham. Everitt’s research focuses on algebra, topology, and combinatorics, with a particular emphasis on homological methods in algebra, partial symmetry through reflection monoids, representation theory of groups and monoids, and geometric manifolds. Collaborators include Paul Turner, John Fountain, and James East. His work on hyperplane arrangements, matroids, and Coxeter groups has led to significant contributions in algebraic topology and geometric group theory. He has supervised eight PhD students, including Majed Albaity and Jim Woodward. His research projects include exploring sheaf homology, minimal hyperbolic manifold volumes, and the interplay between combinatorial structures and algebraic frameworks. He has been involved in grants such as the Heilbronn small grant scheme on diagrammatic intuition and deep learning in mathematics. Everitt is actively engaged in academic outreach, delivering invited talks globally on topics like reflection monoids, Khovanov homology, and hyperbolic manifolds. His teaching contributions include courses on Galois theory and algebraic topology, reflecting his dedication to both research and education.
Professor Neil Dummigan is a Professor of Mathematics at the School of Mathematical and Physical Sciences, University of Sheffield. He specializes in number theory, arithmetic geometry, and automorphic forms, with a focus on congruences involving Hecke eigenvalues, Galois representations, and L-functions. His research explores connections between modular forms, motivic L-functions, and Selmer groups, often applying the Langlands program framework. Research interests include: Modular forms and their congruences modulo critical L-values Galois representations and their modularity Bloch-Kato conjectures and Selmer group constructions Automorphic forms on groups like GSp₄ and U(2,2) Teaching includes modules such as MAS345 Codes and Cryptography and MAS211 Advanced Calculus and Linear Algebra . He has led grants including Congruences of Siegel Modular Forms (EPSRC-funded) and published extensively in journals like Experimental Mathematics and Selecta Mathematica . His work often combines theoretical insights with computational experiments to explore L-function properties and arithmetic conjectures. Professional roles include serving as Mathematics and Statistics Senior Tutor. His research has contributed to understanding links between algebraic geometry, representation theory, and number theory through automorphic forms and their arithmetic applications.
Prof. Andreas Bernig is a faculty member at Goethe University Frankfurt am Main, affiliated with the Department of Computer Science and Mathematics. He has held a W3 professorship in Differential Geometry since October 2009 and served as Dean of the Faculty (2017-2019) and Director of the Institute for Mathematics (2022-2024). His research spans Integral Geometry, Finsler Geometry, Riemannian Geometry, Geometric Inequalities, and Geometric Measure Theory, with a focus on valuations, kinematic formulas, and curvature measures in singular and pseudo-Riemannian settings. His recent publications explore topics such as the Hard Lefschetz theorem in convex valuation theory Weyl principle for Kähler manifolds Kinematic formulas in pseudo-Riemannian space forms Dual area measures in Hermitian integral geometry Invariant valuations on complex and quaternionic spaces These works often involve collaborations with leading mathematicians like J.H.G. Fu, Gil Solanes, and Thomas Wannerer. Prof. Bernig has received notable scientific recognition, including First prize at the German Mathematical Olympiad (1991, 1992) DFG and SNFS funding for projects like "Invariants of Singular Spaces" and "Tensor Valuations" He has supervised doctoral and Master’s students such as Luca Iffland, Frederik Herget, and Frank Steinke, and actively participates in international conferences and workshops in integral geometry, convex geometry, and geometric analysis.
Dr. Ajay Singh Thakur is an Associate Professor in the Department of Mathematics and Statistics at Indian Institute of Technology Kanpur . Holding a PhD from The Institute of Mathematical Sciences, Chennai, he has built a robust research profile in Algebraic Topology and Complex Manifolds . Education PhD, The Institute of Mathematical Sciences, Chennai Research Interests Dr. Thakur’s work spans the intricate realms of Algebraic Topology and Complex Manifolds , with particular emphasis on characteristic classes, vector bundles, and the geometric structures underlying complex and real manifolds. His investigations often involve the interplay between topological invariants and complex-analytic properties, leading to insights that bridge algebraic topology with complex geometry. Publication Themes Across more than a dozen publications from 2011 to 2023, his research has consistently focused on the topology of vector bundles, characteristic classes (Stiefel–Whitney, Chern, Euler), and complex structures on manifolds. The body of work highlights both theoretical advances and explicit computations over spaces such as Stiefel manifolds, projective spaces, and generalized Calabi–Eckmann manifolds. Awards & Fellowships DST-INSPIRE Faculty Fellowship (2013) UGC-CSIR JRF Fellowship (2005) NBHM PhD Fellowship (2005) NBHM MSc Fellowship (2004) Professional Experience & Grants DST-INSPIRE Faculty, Indian Statistical Institute Bangalore (Feb 2014 – Jan 2017) Post-doctoral fellowships at Haifa University, Israel; TIFR Mumbai; and ISI Bangalore Research Group He is an active member of the Topology research group at IIT Kanpur, contributing to the vibrant academic and collaborative environment.
Tamás Hausel is a Professor at the Institute of Science and Technology Austria since 2016, leading his research group. Previously, he held positions at École Polytechnique Fédérale de Lausanne (Chair of Geometry, 2012-2017), University of Oxford (Tutorial Fellow and Royal Society University Research Fellow, 2007-2012), and University of Texas at Austin (Assistant and Associate Professor, 2002-2010). Education: PhD (1999), University of Cambridge (advisor: Nigel Hitchin) Diploma (1995), Eötvös Loránd University, Hungary Research Interests: Algebraic and arithmetic geometry of moduli spaces Geometric representation theory Geometry of topological quantum field theories His work bridges mathematics and physics, particularly through applications of hyperkähler and quaternionic geometry in theoretical physics. Scientific Awards: ERC Advanced Grant (2025, 2013) Whitehead Prize (2008) Alfred Sloan Research Fellowship (2005) Royal Society University Research Fellowship (2005-2013) Advising and Grants: Hausel has mentored multiple PhD students, including Anna Sisák and Kamil Rychlewicz. His research projects are funded by prestigious grants such as an ERC Advanced Grant (€2.5M, 2026-2031) and FWF Standalone Grant (€378K, 2022-2025).
Miguel Domínguez Vázquez is an Associate Professor at the Department of Mathematics, Faculty of Mathematics, University of Santiago de Compostela. He is also a researcher at the Galician Center for Mathematical Research and Technology (CITMAga). His research focuses on symmetry and shape from the viewpoint of differential geometry and Riemannian submanifold geometry. He obtained his PhD from the University of Santiago de Compostela in 2013 with the thesis "Isoparametric foliations and polar actions on complex space forms" under the supervision of Dr. José Carlos Díaz-Ramos. Research Interests: Domínguez Vázquez's work spans several areas of differential geometry including: Isoparametric hypersurfaces and foliations in symmetric spaces Polar and cohomogeneity one actions Homogeneous submanifolds in complex space forms Geometric analysis of overdetermined boundary problems Ricci curvature properties in Riemannian geometry Publication Trends: His recent articles (2021-2024) demonstrate a consistent focus on geometric structures in symmetric spaces, with particular emphasis on isoparametric hypersurfaces, homogeneous submanifolds, and curvature properties. The works frequently combine Riemannian geometry with Lie group theory and geometric analysis. PhD Supervision: He has supervised several doctoral students including: Ángel Cidre Díaz (ongoing) Tomás Otero Casal (2024) Alberto Rodríguez Vázquez (2022) Olga Pérez Barral (2020) Víctor Sanmartín López (2019) Cristina Vidal Castiñeira (2016) Research Leadership: He leads the project "Submanifolds, curvature and geometric equations from the viewpoint of symmetry" (PID2022-138988NB-I00) and coordinates the "Symmetry and Shape" conference series. He collaborates with researchers internationally including Jürgen Berndt (King's College London) and Andreas Kollross (Universität Stuttgart).
