Daniel S. Sage is a Professor in the Department of Mathematics at Louisiana State University, Baton Rouge. He earned his A.B. summa cum laude in Mathematics from Harvard University (1989), followed by S.M. (1990) and Ph.D. (1995) in Mathematics from the University of Chicago. His professional experience includes positions at the University of Utah, Institute for Advanced Study (Princeton), Max Planck Institute for Mathematics, University of Paris VII, University of Zurich, Courant Institute, and Mathematical Sciences Research Institute. His research focuses on: The geometric Langlands program Geometric and combinatorial methods in representation theory Hopf algebras and quantum groups Composite materials and the G-closure problem His recent publications (2011-2020) show strong emphasis on geometric representation theory, moduli spaces, quantum algebras, and differential systems, with consistent applications of algebraic geometry to problems in mathematical physics and Lie theory. Awards and Honors: Ethel Raybould Visiting Fellow, University of Queensland (2017)
Justin Wilson is an Assistant Professor of Physics at Louisiana State University's Department of Physics & Astronomy within the College of Science. His research focuses on theoretical and computational condensed matter physics, with expertise in quantum materials, dynamical phases of information, and analog gravity. He holds a Ph.D. from the University of Maryland, College Park (2015). Education: Ph.D. in Physics, University of Maryland, College Park, 2015 Research Interests: Quantum materials: Weyl semimetals, topological insulators, and layered quasi-2D materials like graphene. Entanglement dynamics and measurement-induced phase transitions in quantum systems. Topology out-of-equilibrium and dynamical phases of information. Analog gravity phenomena in low-energy systems, including black hole analogs in superfluids. Non-equilibrium quantum dynamics and criticality in disordered systems. Recent Research Trends: His work explores how disorder and measurements drive novel quantum phases, with recent emphasis on measurement-induced criticality and entanglement transitions. He also investigates quasicrystals in twisted bilayer graphene and the interplay of topology with non-equilibrium dynamics. Grants & Awards: No specific awards listed, but his research is supported by ongoing grants related to condensed matter theory and quantum information. Labs & Collaborations: Engages with LSU's theoretical physics group and collaborates internationally on quantum materials and analog gravity projects.
Kemal Rose is a Postdoctoral researcher at KTH Royal Institute of Technology in Sweden, mentored by professor Sandra di Rocco. He holds a PhD from the Max Planck Institute for Mathematics in the Sciences (Leipzig), advised by Simon Telen and Bernd Sturmfels. His research focuses on algebraic geometry and optimization, with contributions to polynomial systems, tropical geometry, and computational methods in algebraic geometry. Key research themes include certification of polynomial system zeros, p-adic and real cubic surfaces, polyhedral homotopy algorithms, and the algebraic degree of sparse optimization problems. His work bridges theoretical mathematics with practical computational tools, emphasizing interdisciplinary applications in symbolic computation and geometric modeling. Publications span topics such as tropical implicitization, polyhedral-type analysis, and toric geometry. Current research trends reflect a focus on leveraging algebraic methods to solve high-dimensional optimization problems with sparse structures. No scientific awards or grants are explicitly listed in the provided materials. His academic advising history is not detailed here.
Heejong Lee is a Golomb Visiting Assistant Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. His research focuses on advanced topics in number theory, algebraic geometry, and tropical geometry with applications to representation theory and arithmetic geometry. His recent work includes studies on Emerton–Gee stacks, Serre weights, and local-global compatibility in the context of Galois representations and modular forms. Earlier contributions explored tropical geometry, particularly bitangents of non-smooth tropical quartics. No scientific awards or grants are explicitly listed in the provided information. He does not currently have a documented list of advisees or students.
Alexander Bertoloni Meli is an Assistant Professor at Boston University's Department of Mathematics and Statistics. His research focuses on Number Theory, Representation Theory, and the Langlands Program, with particular interest in the geometry and representation theory of reductive groups. He holds a PhD from UC Berkeley (2020), advised by Sug Woo Shin, and previously served as a postdoc at the University of Bonn (with Jessica Fintzen) and the University of Michigan (with Tasho Kaletha). His work explores connections between the Langlands program and Shimura varieties, often involving advanced techniques in algebraic geometry and p-adic representation theory. Key contributions include studies on the Fargues-Scholze correspondence, B(G)-parametrization of Langlands correspondence, and cohomology of Rapoport-Zink spaces. He actively collaborates with researchers like Teruhisa Koshikawa, Masao Oi, and Alex Youcis. Bertoloni Meli is affiliated with Boston University's Computing and Data Sciences (CDS) office (room 510). Beyond academia, he supports educational initiatives like the Ypsilanti Math Corps and previously mentored in UC Berkeley’s Directed Reading Program.
Dr. João Lourenço is a Researcher at the Mathematisches Institut of the University of Münster , affiliated with the Cluster of Excellence Mathematics Münster: Dynamics - Geometry - Structure (CRC 1442) . His research focuses on arithmetic geometry and representation theory, with contributions to Schubert varieties, moduli spaces, and geometric Satake equivalences in mixed characteristic contexts. He actively participates in research projects T1–T4 under the CRC program. Key research interests include arithmetic geometry , representation theory , and the interplay between algebraic groups and cohomology. His work addresses foundational questions in p-adic geometry, Bruhat-Tits theory, and the structure of affine Grassmannians. Recent publications explore normality of Schubert varieties in positive characteristic and tubular neighborhoods of local models. Dr. Lourenço collaborates with international researchers such as Thomas Haines, Timo Richarz, and Simon Riche. His research is supported by the CRC 1442, focusing on geometric deformations and rigidity phenomena. He has contributed to foundational papers in Annales Scientifiques de l’École Normale Supérieure and Forum of Mathematics, Sigma , among others.
Dr. Devarshi Mukherjee is a researcher affiliated with the Mathematical Institute at the University of Münster, within the Department of Mathematics and Computer Science. He is part of the AG Topology research group and holds a PhD. His work focuses on nonarchimedean analysis, algebraic topology, homological algebra, and operator algebras, with a particular emphasis on bornological geometry, cyclic homology, and K-theory. His office is located in SRZ 325, and his secretary, Ms. Claudia Rüdiger, can be reached at +49 251 83-35159 or via email: c.ruediger@uni-muenster.de. Research interests include advanced topics such as localization techniques in derived bornological geometry, nonarchimedean bivariant K-theory, and analytic cyclic homology in positive characteristic. His recent publications (2019–2025) explore the intersection of algebraic structures with nonarchimedean functional analysis and topological invariants. No scientific awards or grants are explicitly listed in the provided texts. He currently has no documented advisees or students, though this may reflect incomplete data rather than an absence of mentorship activity.
Subhajit Jana is a Lecturer in Number Theory in the Department of Algebra and Number Theory at the School of Mathematical Sciences, Queen Mary University of London, a position he has held since September 2022. He is affiliated with the Centre for Combinatorics, Algebra and Number Theory and actively contributes to research and teaching in analytic number theory and automorphic forms. Queen Mary University of London – Lecturer in Number Theory (2022–Present) Max Planck Institute for Mathematics, Bonn – Postdoctoral Fellow (2020–2022) ETH Zurich – Ph.D. in Mathematics (2020) University of British Columbia – M.Sc. (2015) Indian Statistical Institute – B.Math. (2013) His research lies at the intersection of analytic number theory, automorphic forms, and representation theory. He focuses on deep problems such as subconvexity bounds for L-functions, spectral theory of automorphic forms, quantum unique ergodicity, equidistribution on arithmetic manifolds, and Diophantine approximation. His work combines analytic techniques with algebraic and dynamical structures arising in homogeneous spaces and automorphic representations. The 15 most recent publications reflect a consistent and high-impact research trajectory centered on L-functions, automorphic forms, and spectral analysis. Key themes include moment estimates, equidistribution, sup-norm bounds, and spectral reciprocity, often employing advanced tools such as the relative trace formula, analytic newvectors, and harmonic analysis on symmetric spaces. These works appear in leading journals like Duke Mathematical Journal , Advances in Mathematics , and Forum of Mathematics, Sigma . Subhajit Jana currently holds a research grant from the Engineering and Physical Sciences Research Council (EPSRC) titled "Moments of higher-rank L-functions" (2025–2027), valued at £188,990. He has advised or collaborated with several researchers, though no formal advisees are listed. He teaches undergraduate courses including Number Theory and Differential and Integral Analysis. He is a member of the research community at Queen Mary and participates in seminars and collaborative research within the School of Mathematical Sciences and the Centre for Combinatorics, Algebra and Number Theory.
Tony Scholl is a Professor of Number Theory and Algebra at the Department of Pure Mathematics and Mathematical Statistics (DPMMS) , University of Cambridge. His research focuses on number theory , arithmetic algebraic geometry , and modular forms . He is known for his work on Galois representations, motives, and cohomology theories in arithmetic contexts. His contact details include email A.J.Scholl@dpmms.cam.ac.uk and room E1.05. Education : Not explicitly mentioned Research Interests : Tony Scholl's work bridges number theory and algebraic geometry, with a focus on modular forms, motives, and cohomology theories. His research explores connections between automorphic forms, Galois representations, and special values of L-functions, contributing to the understanding of arithmetic structures in algebraic varieties, including noncongruence subgroups and plectic cohomology. His recent publications address topics like modular curves, Hilbert modular varieties, and cohomological frameworks for arithmetic problems. Publication Trends : Scholl's publications span over three decades, emphasizing modular forms, Galois representations, and arithmetic geometry. Key themes include the study of motives for modular forms, cohomology theories for algebraic cycles, and extensions of Hodge structures in plectic theory. His work on noncongruence subgroups and ℓ-adic representations has influenced modern research in automorphic forms and arithmetic algebraic geometry. Scientific Awards : No awards mentioned in the provided data. Grants and Collaborations : While specific grants are not listed, Scholl has collaborated with mathematicians like N. Schappacher, M. Harris, and J. Nekovář on topics such as Beilinson's conjectures, trilinear forms, and plectic Hodge theory. His advisory roles and student mentorship are not detailed in the scraped data.
Dr. Theo Assiotis is a faculty member at the School of Mathematics, University of Edinburgh, joining in the 2020-21 academic year. His research focuses on probability theory, mathematical physics, random matrices, and branching graphs. He completed his undergraduate studies at the University of Cambridge and pursued further academic training through a PhD and postdoctoral work. His work bridges abstract algebraic structures with probabilistic methods, particularly in stochastic processes and integrable systems. Research interests include random matrices and their applications in statistical mechanics, as well as branching graphs linked to representation theory and Markov chains. Recent collaborations include a paper co-authored with two undergraduate students on characteristic polynomials of random matrices. He emphasizes the importance of perseverance in academic research, advising students to embrace challenges inherent in exploring uncharted mathematical domains. Teaching and supervision are central to his role, with particular enjoyment in mentoring students through research projects. While no specific awards are highlighted in the text, his contributions to probability theory and mathematical physics are evident through his extensive publication record.
Prof. Dr. Ulrich Görtz is a full-time faculty member at the University of Duisburg-Essen, leading the Research Group Görtz in the field of Arithmetic Geometry and Number Theory. His work bridges abstract algebraic geometry with number-theoretic structures, focusing on topics like Shimura varieties, Frobenius traces, and abelian varieties in positive characteristic. Research Areas: Arithmetic Geometry, Number Theory, Abelian Varieties, Positive Characteristic Geometry Organized Workshops: Oberwolfach workshops (2015, 2019) on reduction of Shimura varieties His research group includes current PhD students Giulio Marazza and Thiago Solovera e Nery, along with former members such as Francesc Fité, Xavier Guitart, and Martin Kreidl. He has collaborated with institutions like the Mathematisches Forschungsinstitut Oberwolfach and the Hausdorff Center in Bonn. The group's publications span p-adic geometry, moduli spaces, and vector bundle theory, with contributions to the understanding of Iwahori level structures, Sato-Tate groups, and Demazure resolutions. His work has appeared in journals like Ann. Inst. Fourier , Compos. Math. , and Math. Z. Prof. Görtz is actively involved in mentoring students and postdocs, with a team including secretary Julia Schulte-Kellinghaus and former collaborators like Ulrich Terstiege and Christian Kappen. His contact details include an email address ulrich.goertz@uni-due.de .
Alessio Mansutti is an Assistant Professor at IMDEA Software Institute, Madrid, where he conducts research in logic and formal methods in computer science. Prior to this, he was a Research Associate in the Automated Verification Group at the University of Oxford. His research focuses on decision procedures for arithmetic theories, separation logic, modal logics, and proof theory. Key areas include Presburger arithmetic with non-linear operations (exponentiation, GCD), quantifier elimination, complexity analysis, and logical expressiveness. He has made significant contributions to the decidability and complexity of extended arithmetic and spatial logics. The recent publications show a strong trend in developing quantifier elimination techniques for linear-exponential and counting extensions of arithmetic, analyzing reachability in separation logic, and designing internal calculi for modal and spatial logics. His work bridges theoretical logic with practical verification and optimization problems. Scientific Awards : None mentioned in the text. Advising and Grants : Alessio Mansutti is currently leading independent research funded by the Madrid Regional Government under the César Nombela grant 2023-T1/COM-29001. There is no mention of formal students or advisees, suggesting he may be early in his independent career. He was previously involved in the ERC project ARiAT (2020–2024) led by Christoph Haase, focusing on advanced reasoning in arithmetic theories. Labs and Teams : He is affiliated with the IMDEA Software Institute and was part of the Automated Verification Group at the University of Oxford. His research is deeply collaborative within the formal methods and logic communities, particularly in decision procedures and logical foundations for program verification.
Christoph Haase is an Associate Professor at the Department of Computer Science, University of Oxford, and a Fellow of St Catherine’s College. His research focuses on developing rigorous mathematical methods for algorithmic verification, automated reasoning, automata theory, and logic in computer science. University of Oxford, UK (Current) University College London, UK (Former) ENS Paris-Saclay, France (Former) Microsoft Research Cambridge, UK (Former) His work includes fundamental contributions to decision procedures for arithmetic theories, particularly in Presburger and Büchi arithmetic, and applications to verification of software and hardware systems. He leads the ARiAT project, funded by an ERC Starting Grant (2020–2025), aiming to advance quantifier elimination and complexity bounds for arithmetic theories. Key publication trends include verification , automata theory , arithmetic logic , computational complexity , and automated reasoning . Collaborations span institutions like University of Paris, UCL, and Microsoft Research. Scientific Awards : ERC Starting Grant (2019) EPSRC Doctoral Prize (during DPhil studies) He has supervised PhD and MEng projects on topics such as SAT solving, linear arithmetic, and matrix semigroups, often co-supervising with researchers like Stefan Kiefer and James Worrell. Teaching includes Logic and Proof at Oxford and Operating Systems at ENS Paris-Saclay.
J. Maurice Rojas is a Professor and Associate Head of Graduate Programs at Texas A&M University's Department of Mathematics. His research focuses on computational algebraic geometry, discrete geometry, and polynomial equation solving with applications in complexity theory and number theory. He holds a Ph.D. from the University of California, Berkeley (1995), alongside earlier degrees from Berkeley and UCLA. Rojas' work bridges theoretical and algorithmic approaches to problems in algebraic geometry, including fewnomial theory, real and p-adic root counting, and tropical geometry. His contributions address the computational complexity of polynomial systems, with recent emphasis on sparse polynomials and circuit-based algorithms. He has authored over 50 papers and contributed to NSF-funded projects on arithmetic geometry and algorithmic methods. His research has explored applications in statistical modeling of petascale data, topological data analysis, and interdisciplinary collaborations between mathematics and computer science. Notable achievements include foundational work on A-discriminants, Viro's patchworking, and the development of sub-linear algorithms for algebraic structures.
Davide Cesare Veniani is a Postdoctoral Assistant at the University of Stuttgart, affiliated with the Institute of Discrete Structures and Symbolic Computing and the Chair of Differential Geometry. He holds a Privatdozent (Priv.-Doz.) title and completed his habilitation in Mathematics at Stuttgart in 2021. His research focuses on algebraic geometry, particularly K3 surfaces, Enriques surfaces, and their symmetries, enumerative problems, and connections to number theory. Education: PhD in Mathematics (2016), Leibniz Universität Hannover, under Prof. Matthias Schütt Postdoctoral positions at Johannes Gutenberg-Universität Mainz (2016–2019) and Universität Stuttgart (2019–present) His research interests include the geometry of algebraic surfaces, their moduli spaces, automorphisms, and applications to arithmetic geometry. He has organized events such as the 2023 FrAGe conference and contributed to international summer schools on arithmetic geometry. Teaching includes courses on mathematics for economics, advanced geometry topics, and seminars on group theory and algorithmic applications. His publications span high-impact journals, exploring subjects like elliptic fibrations, symplectic rigidity of hyperkähler manifolds, and Hensel lifting algorithms for quadratic forms.
