Modular Forms Professors and Supervisors in Austria

Anton Mellitمشاهده پروفایل

دانشیار

University of ViennaAustria

Anton Mellit is an Associate Professor at the Faculty of Mathematics, University of Vienna. His research spans algebraic geometry, combinatorics, low-dimensional topology, and theoretical physics, with notable contributions to moduli spaces, Macdonald polynomials, and categorification. He completed his PhD in 2008 under Don Zagier at the University of Bonn and held postdoctoral positions in Bonn, Cologne, Trieste, and Klosterneuburg before joining Vienna in 2017. Doctor of Natural Sciences, University of Bonn (2008) Master in Applied Mathematics, National Technical University of Ukraine (2004) Bachelor in Applied Mathematics, National Technical University of Ukraine (2002) Mellit's work focuses on connections between algebraic geometry and combinatorics, particularly in character varieties, Higgs bundles, and quantum cohomology. His recent publications highlight advancements in understanding Poincaré polynomials, Serre duality, and the interplay between moduli spaces and hypergeometric functions. He has received prestigious recognition, including an ERC Consolidator Grant for his project "REFINV: Refined Invariants in Combinatorics, Low-Dimensional Topology, and Geometry of Moduli Spaces." His collaborations with leading researchers in mathematics and physics underscore his interdisciplinary impact.

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Peter Pauleمشاهده پروفایل

استاد

Johannes Kepler University LinzAustria

Prof. Peter Paule is a retired Full Professor at the Research Institute for Symbolic Computation (RISC) of Johannes Kepler University (JKU) Linz, Austria, succeeding Bruno Buchberger. He served as RISC Director from 2009 to 2023 and as director of the FWF Special Research Program SFB F013 (2003–2008). Since May 2024, he is a Guest Professor at Tianjin University’s Center for Applied Mathematics. Paule holds a Ph.D. from the University of Vienna (1983) and a Habilitation in Mathematics from JKU (1996). His research focuses on symbolic computation, combinatorics, special functions, and algorithmic mathematics. He has contributed to creative telescoping, partition analysis, and Ramanujan-Sato series, with over 100 publications in top journals and books. He served as editor for journals like the Ramanujan Journal , Annals of Combinatorics , and the Journal of Symbolic Computation . His academic leadership includes directing the Doctoral Program in Computational Mathematics (2008–2017). His research group has produced numerous students and postdocs, advancing algorithmic methods in combinatorics and number theory.

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Ankush Goswamiمشاهده پروفایل

پژوهشگر ارشد

Johannes Kepler University LinzAustria

Ankush Goswami is a Research Fellow at the University of Texas Rio Grande Valley (UTRGV), School of Mathematical and Statistical Sciences. He holds a PhD in Mathematics from the University of Florida (2019) and has held postdoctoral positions at institutions including IIT Gandhinagar and the Research Institute for Symbolic Computation (RISC) in Austria. His research focuses on analytic number theory, q-series, integer partitions, modular forms, and combinatorics. Education highlights include a PhD under Dr. Krishnaswami Alladi at the University of Florida, and an integrated MSc from National Institute of Science Education and Research (NISER), India. He has received notable awards such as the Kenneth and Janet Keene Fellowship (2019), CAM Travel Grant (2017), and INSPIRE-DST Fellowship (2008–2013). His research interests span asymptotic estimates of arithmetic functions, quantum modular forms, and partition analysis. Recent work includes studies on Gauss circle problems, Habiro elements, and quantum modularity of theta series. He uses computational tools like Maple and Mathematica for experimental mathematics. Teaching experience includes instructor roles for Linear Algebra, Calculus, and Precalculus at UTRGV and the University of Florida. He has also been actively involved in academic and non-academic activities, including organizing cricket tournaments and music performances.

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Christoph Koutschanمشاهده پروفایل

استاد پژوهش

Austrian Academy of SciencesAustria

Christoph Koutschan is a Senior Fellow in the Symbolic Computation group at the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences. He holds a PhD in Mathematics from JKU Linz (2009) and a Habilitation in Mathematics (2017). His research focuses on computer algebra, algorithmic combinatorics, and symbolic summation/integration of holonomic functions. Koutschan has held positions at Tulane University (2009–2010), Tulane University (2009–2010), and INRIA (2011–2012) before joining RICAM in 2012. Education: PhD in Mathematics (2009), Research Institute for Symbolic Computation (RISC), JKU Linz Habilitation in Mathematics (2017), JKU Linz M.Sc. in Computer Science (2005), FAU Erlangen-Nürnberg Studies in Computer Science (1999–2005), FAU Erlangen-Nürnberg Research Interests: Koutschan's work revolves around symbolic computation with a focus on holonomic functions, combinatorial identities, and applications in mathematical physics. His tools include algorithmic methods for summation/integration, differential equations, and computational algebra. Publications & Awards: Over 40 journal articles, including work on determinant evaluations, Feynman amplitudes, and combinatorial enumeration. Notable awards include the David P. Robbins Prize (2016), ISSAC's Distinguished Software Presentation Award (2016), and the ACA Early Researcher Award (2021). Grants & Collaborations: Lead or co-PI in projects like 'Certificate-free Summation and Integration' (SFB F50, 2017–2021) and 'Security and Safety for Shared AI' (FFG COMET-K2, 2020–2023). Active in editorial roles at Journal of Symbolic Computation and Annals of Combinatorics . Labs/Teams: Core member of RICAM's Symbolic Computation group, collaborating internationally with institutions like INRIA, Tulane University, and TU Wien.

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Emanuel Vonachمشاهده پروفایل

پژوهشگر

Vienna University of TechnologyAustria

Emanuel Vonach is a PreDoc Researcher at the Institute of Visual Computing & Human-Centered Technology at Vienna University of Technology (TU Wien), specializing in virtual reality, haptics, and tangible user interfaces. His work focuses on developing innovative VR systems with robotic haptic feedback, health monitoring technologies for children, and motion capture applications. He maintains an active research profile with publications spanning from 2011 to 2025, demonstrating continuous contribution to the field of human-computer interaction. Vonach's research interests primarily center around enhancing virtual reality experiences through physical interaction. His work explores how robots can provide haptic feedback in VR environments, developing systems like CoboDeck (a large-scale haptic VR system using collaborative mobile robots) and Action-Origami inspired haptic devices. He has also pioneered applications in health monitoring for children through projects like MediCubes, which transforms medical examinations into engaging storytelling experiences using tangible interfaces. His research bridges the gap between theoretical computer science and practical applications in healthcare, education, and emergency response. His publication record shows a clear progression from foundational work in motion capture and tracking systems to increasingly sophisticated haptic VR applications. Recent publications focus on environment-independent locomotion prediction for haptic VR and safety monitoring systems for encountered-type haptics, indicating a maturation of his research toward more complex, real-world applications. The consistent funding from organizations like the Austrian Research Promotion Agency (FFG) and European Commission demonstrates recognition of his work's significance. Vonach actively supervises graduate students, with thesis topics covering mobile collaborating robots for haptics, in-situ questionnaires for haptic experience, and visual assessment with eye-tracking displays. His role as a PreDoc Researcher with FWF funding suggests he is either completing or has recently completed his doctoral studies while maintaining an active research program. His collaborations with Professor Hannes Kaufmann and other researchers at TU Wien form a cohesive research group focused on advancing VR and haptic technologies.

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Robbert Dijkgraafمشاهده پروفایل

استاد

Graz University of TechnologyAustria

Robbert Dijkgraaf is the Director and Leon Levy Professor at the Institute for Advanced Study (IAS) in Princeton since 2012. Previously, he served as Distinguished University Professor of Mathematical Physics at the University of Amsterdam (2005–present) and held professorships there from 1992. He earned his PhD in physics from Utrecht University in 1989 under Gerhard 't Hooft. His research focuses on string theory and the interface between mathematics and physics. Education: B.Sc. Physics (cum laude), Utrecht University, 1982 Painting studies at Gerrit Rietveld Academie, Amsterdam (1982–1984) M.Sc. Theoretical Physics (cum laude), Utrecht University, 1986 Ph.D. Physics (cum laude), Utrecht University, 1989 Research Interests: Dijkgraaf’s work bridges string theory with advanced mathematical structures such as algebraic geometry and topology. His contributions include foundational studies on conformal field theories, topological string theory, and the interplay between gauge theories and quantum gravity. He has explored black hole entropy, matrix models, and duality in physics and mathematics. Awards & Honors: Spinoza Prize (2003) Comenius Prize (2012) Member of Royal Netherlands Academy of Arts and Sciences (2003) President of Royal Netherlands Academy of Arts and Sciences (2008–2012) Knight of the Order of the Netherlands Lion (2012) Leadership & Contributions: Dijkgraaf has organized numerous international conferences and served on editorial boards of journals like Communications in Mathematical Physics and Advances in Theoretical and Mathematical Physics . He led the Trieste Spring Schools on string theory and co-chaired the Strings 2001–2003 conferences. His leadership at IAS fosters interdisciplinary research across mathematics and physics. Public Engagement: He has authored popular works explaining theoretical physics to broader audiences, including articles on string theory and the role of mathematics in modern physics.

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Peter Schneiderمشاهده پروفایل

استاد

Graz University of TechnologyAustria

Peter Schneider is a Professor at the University of Münster, holding this position since 1994. He has held previous roles including Visiting Professor at the University of British Columbia (2012), Professor at the University of Köln (1985–1994), and Professor at the University of Heidelberg (1984–1985). His research focuses on Representation theory, Algebraic number theory, p-adic analysis, and Arithmetic geometry. Schneider has made significant contributions to p-adic Langlands program, modular representation theory, and the interplay between algebraic geometry and number theory. Research Interests: Schneider’s work explores foundational aspects of p-adic analysis, including p-adic distributions, representations of p-adic groups, and the geometric structures like Bruhat-Tits buildings. His studies on arithmetic geometry bridge algebraic geometry with number theory, addressing topics such as Galois representations and modular forms. Awards and Honors: Leibniz Prize (1992) Prix du Ministère de l'Education Nationale (1995) Clay Research Scholar (2005) Invited Section Lecturer at the International Congress of Mathematicians (2006) His publications include seminal works on p-adic Fourier theory, Pro-p-Iwahori-Hecke algebras, and the p-adic Langlands functoriality. Schneider has authored influential books such as Non-archimedean Functional Analysis and p-adic Lie Groups .

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Jürg Kramerمشاهده پروفایل

استاد

Graz University of TechnologyAustria

Jürg Kramer is a Professor of Mathematics at Humboldt University Berlin , specializing in arithmetic algebraic geometry and automorphic forms. He has held prominent roles such as President of the German Mathematical Society and speaker of the Berlin Mathematical School. Research Focus: Arithmetic algebraic geometry, Arakelov geometry, automorphic forms, modular forms, and analytic number theory. Honors: Member of MATHEON, Academia Europaea, and leadership roles in mathematical societies. Affiliations: Active in the DFG Research Center MATHEON and the Berlin Mathematical School.

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Maryna Viazovskaمشاهده پروفایل

استاد

Graz University of TechnologyAustria

Maryna Viazovska is a Full Professor at École Polytechnique Fédérale de Lausanne (EPFL), renowned for solving the sphere packing problem in dimensions 8 and 24. She holds a PhD from the Max Planck Institute for Mathematics and the University of Bonn (2013), with earlier degrees from Technical University Kaiserslautern (M.Sc., 2007) and Kyiv National Taras Shevchenko University (B.Sc., 2005). Her research focuses on sphere packing, optimal point configurations, Fourier analysis, automorphic forms, and number theory. Notable achievements include proving the E8 lattice's optimality in 8 dimensions and the Leech lattice in 24 dimensions, leveraging modular forms and interpolation techniques. Key awards include the Fields Medal (2022), Fermat Prize (2020), and Salem Prize (2016). She has held positions at Humboldt University of Berlin (BMS Dirichlet Postdoc), Institut des Hautes Études Scientifiques, and Princeton University. Her publications span top journals like Annals of Mathematics and address interdisciplinary topics such as superconductivity and combinatorial geometry. Viazovska’s work bridges pure mathematics with applications in coding theory and physics.

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Balázs Szendroiمشاهده پروفایل

استاد

University of ViennaAustria

Prof. Balázs Szendroi is a University Professor in Algebraic Geometry at the University of Vienna's Faculty of Mathematics, Department of Mathematics. His research focuses on algebraic geometry, topology, representation theory, and combinatorics, with significant contributions to Calabi-Yau manifolds, Hilbert schemes, and geometric structures. He organizes international workshops including the Austria-Uganda collaboration series and leads projects to develop mathematics in East Africa. Affiliations: University of Vienna (current), former roles at University of Oxford and other institutions Teaching includes advanced courses on algebraic geometry, commutative algebra, and group theory Active in academic outreach: coordinating the Vienna African Mathematics Scholarships and mentoring over 40 students/postdocs Key collaborations include projects with institutions in Uganda, Kenya, Rwanda, and South Africa Research interests span algebraic geometry's pure and applied facets, including symmetries in Islamic art, representation theory, and geometric invariant theory. He co-authored the textbook Geometry and Topology with Miles Reid.

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Christoph Baxaمشاهده پروفایل

دانشیار

University of ViennaAustria

Christoph Baxa is an Associate Professor in the Department of Mathematics at the University of Vienna, where he has been a faculty member since 2000. His academic career at the University of Vienna began in 1990 as an Assistant Professor in the Department of Statistics, then moved to the Department of Mathematics in 1992, where he was promoted to Associate Professor in 2000. He maintains an active research profile and teaching load, with courses scheduled through 2025. Dr. Baxa completed his academic training at the University of Vienna, earning his M.A. in 1990 with a thesis on prime representing functions and Hilbert's Tenth Problem, his Ph.D. in 1994 on the discrepancy of sequences (nα), and his Habilitation in 2000 on estimates for discrepancies of special uniformly distributed sequences. His research focuses on Number Theory, particularly Uniform Distribution Theory, Discrepancy Theory, Continued Fractions, and Diophantine Approximation. His work often connects number theory with mathematical logic, as evidenced by his early research on Diophantine representations. His recent scholarly activity is dominated by book reviews for Monatsh. Math., covering diverse areas including algebraic geometry, number theory, history of mathematics, and mathematical education. Dr. Baxa has received several prestigious awards including the Ph.D. sub auspiciis Praesidentis rei publicae, the Würdigungspreis from the Austrian Ministry of Science and Research, the Jubiläums-Studienpreis from the Austrian Mathematical Society, and the Edmund und Rosa Hlawka Preis from the Austrian Academy of Sciences. He has held research grants from the Austrian Science Fund and was an Erwin Schrödinger Fellow at the University of Colorado at Boulder from 2001-2003. As a professional service, he has been a regular reviewer for Mathematical Reviews since 1996 and reviews books for Monatsh. Math. He is a member of numerous mathematical societies including the AMS, DMV, EMS, LMS, ÖMG, and SMF.

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Harald Grobnerمشاهده پروفایل

استاد

University of ViennaAustria

Harald Grobner is a Professor at the Department of Mathematics within the Faculty of Mathematics at the University of Vienna, Austria. His office is located in Room 11.139 at Oskar-Morgenstern-Platz 1, 1090 Wien. He holds a Privatdozent qualification and serves as Principal Investigator for multiple major research projects including the ongoing FWF project 'New aspects of automorphic and smooth-automorphic forms' (2024-2028). His primary research focuses on automorphic forms—particularly cohomological ones—and their applications to number theory. He investigates the arithmetic and analytic theory of L-functions, with emphasis on representation theory (both local and global) and the geometry of arithmetically defined varieties. His work bridges deep theoretical constructs with concrete arithmetic problems, often exploring connections between automorphic representations and special values of L-functions. Grobner's recent publications demonstrate a sustained focus on automorphic cohomology, L-value rationality, and representation-theoretic structures. His research increasingly examines smooth-automorphic forms, the Franke filtration, and Deligne's conjecture for various L-functions, reflecting both technical sophistication and expanding conceptual scope. Key recurring themes include period relations, rationality phenomena, and the interplay between automorphic forms and arithmetic geometry. Edmund and Rosa Hlawka Award for Mathematics (2024, 4K €) START-Prize of the Austrian Science Fund (Y-966, 1.2 Mio €, 2016-2022) FWF Stand-alone research project (P-32333, 355K €, 2020-2024) FWF Stand-alone research project (P-25974, 228K €, 2013-2016) Erwin Schrödinger Grant (J-3076, 143K €, 2010-2013) Grobner actively supervises research through multiple funded projects including the current FWF Principal Investigator project (443K €) and a Croatian Science Foundation collaboration. He co-organizes the Wiener Seminar für Logik und Recht and maintains significant teaching responsibilities including Algebra, Number Theory, and advanced research seminars at the University of Vienna.

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