Find Academic Supervisors

• Algebraic Geometry
• Number Theory
• Computational Algebraic Geometry
• +5 more

Emre Sertöz is an assistant professor with tenure in the Algebra, Geometry, and Number Theory group at the Mathematical Institute of Leiden University. Prior to his current position, he held postdoctoral positions at Leibniz University Hannover, Max Planck Institute for Mathematics in Bonn, and Max Planck Institute for Mathematics in the Sciences in Leipzig. He completed his PhD in Mathematics at Humboldt University of Berlin with a short stay at University of Amsterdam. His educational background includes: PhD in Mathematics, Humboldt University of Berlin (with a short stay at University of Amsterdam) Dr. Sertöz's research focuses on the intersection of algebraic geometry, number theory, and computational mathematics. His work primarily explores the arithmetic properties of periods of algebraic varieties, computational methods in algebraic geometry, and moduli spaces. He has developed computational tools like PeriodSuite for calculating periods and Picard ranks of surfaces. His research bridges theoretical mathematics with practical computational approaches, making significant contributions to understanding the transcendental aspects of algebraic varieties. His scholarly contributions have been published in prestigious journals including the Journal of the London Mathematical Society, Algebra & Number Theory, and SIAM Journal on Applied Algebra and Geometry. His work shows a strong trend toward integrating computational methods with classical algebraic geometry problems, particularly in the areas of period computation, Hodge theory, and moduli spaces. Dr. Sertöz has received recognition for his work through invitations to present at notable venues such as Oberwolfach, and his research has been supported through various academic positions at prestigious institutions. As an advisor, Dr. Sertöz has mentored several Master's students including Rafael Mohr, Samuele Pollaci, and Kamillo Ferry. His organizational contributions include co-organizing workshops and seminars on topics ranging from computational geometry to Hodge structures, demonstrating his commitment to advancing research in his field. His current and upcoming activities include organizing the Lorentz workshop "Recurrence, transcendence, and Diophantine approximation" in July 2025, and various reading seminars on advanced topics in algebraic geometry.

• Computational Algebra
• Commutative Algebra
• Applied Algebraic Geometry
• +3 more

Daniele Taufer is a postdoctoral researcher affiliated with the NUMA research unit at KU Leuven (Belgium) since 2022, supported by the FWO (Flemish Fund for Scientific Research) under project 12ZZC23N. Previously, he worked at CISPA (Germany) from 2020 to 2022 as a postdoc on elliptic curve cryptography within the ERC-669891 project, supervised by Antoine Joux. Education: Ph.D. in Mathematics (2016–2020), University of Trento (IT), cum laude, thesis: "Elliptic Loops" (supervised by Massimiliano Sala) Master in Mathematics (2014–2016), University of Duisburg-Essen (DE) and University of Leiden (NL) via the ALGANT double-degree program, thesis: "Algebraic aspects of the Number Field Sieve" (supervised by Hendrik W. Lenstra) Bachelor in Mathematics (2011–2014), University of Padova (IT), thesis: "Gröbner bases and applications" (supervised by Alberto Tonolo) Research interests span computational and commutative algebra, applied algebraic geometry, and cryptographic applications. Key areas include symmetric tensor decomposition (Waring, tangential, Chow, cactus ranks), effective decomposition algorithms (apolarity, Hankel operators), and algebro-geometrical properties of apolar schemes. His work bridges theoretical algebra and practical cryptography, particularly focusing on elliptic curves and their applications in blockchain and isogeny-based systems. Recent scientific contributions examine decompositions of symmetric tensors, elliptic curve discrete logarithm problems (ECDLP), and group structures over discrete rings. His algorithmic developments leverage apolarity and Hankel operators for computational efficiency. Scientific accolades: Maître de conférences qualification (2025) in Mathematics and Applied Mathematics sections Member of the SIAM Activity Group on Algebraic Geometry Labs and teams include the NUMA group at KU Leuven and the ERC-669891 project at CISPA.

• Applied Mathematics
• Pure Mathematics
• Algebraic Geometry
• +3 more

Assoc Prof Chee Whye Chin is an Associate Professor of Mathematics at the National University of Singapore (NUS), affiliated with the Department of Mathematics. His research focuses on arithmetic algebraic geometry, monodromy groups, and representation theory of reductive groups. He has contributed to foundational work on ℓ-independence of monodromy groups and compatible systems of lisse sheaves. His teaching philosophy emphasizes student-driven learning through interactive lectures and continual assessments, aiming to foster deep understanding of mathematical concepts. Research Interests: Monodromy groups and their structural properties Reductive algebraic groups and their representations ℓ-Independence conjectures in arithmetic geometry Applications of group theory in algebraic geometry Publications: His work spans algebraic geometry, number theory, and computational methods. Notable contributions include studies on rationality of homogeneous varieties, optimization of matrix multiplication algorithms, and independence of ℓ results in compatible systems. Over 15 key publications since 1997 reflect his interdisciplinary impact. Awards & Recognition: No specific awards mentioned, but his research has been cited widely in areas like genomics and computational methods. Teaching & Mentorship: Emphasizes active learning through interactive sessions and rigorous assessments. Encourages students to develop self-directed learning strategies by avoiding pre-prepared lecture notes, fostering independent exploration of mathematical concepts.

Ehrhard BehrendsView profile

Professor

• Functional Analysis
• Probability Theory
• Stochastic Processes
• +4 more

Prof. Ehrhard Behrends is a Professor of Mathematics at the Department of Mathematics and Computer Science, Freie Universität Berlin. His research focuses on functional analysis, probability theory, and stochastic processes. He is also deeply involved in mathematical education and public outreach, having authored numerous popular mathematics books and articles. Key roles include leading the European Mathematical Society's Raising Public Awareness committee (2009–2015) and developing the mathematics portal mathematics-in-europe.eu . Behrends has organized major exhibitions like 'Mathematics for all the Senses' and contributed to initiatives such as the Year of Mathematics 2008. His work bridges advanced research with accessible communication, reflected in his books on Markov chains, analysis textbooks, and the Five Minutes of Mathematics column.

Tony SchollView profile

Professor

• Number Theory
• Arithmetic Algebraic Geometry
• Modular Forms
• +3 more

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.

• Coding Theory
• Discrete Geometry
• Finite Geometry
• +5 more

Sascha Kurz is an Associate Professor at the Mathematical Institute of the Faculty of Mathematics, Physics and Computer Science at the University of Bayreuth, Germany. His research focuses on discrete structures, coding theory, voting systems, and combinatorial optimization. Professor Kurz's primary research interests span several interconnected fields in discrete mathematics and its applications: Coding Theory : With a focus on divisible codes, subspace codes, and constant dimension codes, his work explores the theoretical foundations and practical applications of error-correcting codes. Discrete Geometry : His research in finite geometry, particularly on arcs in projective spaces and vector space partitions, contributes to both theoretical understanding and coding applications. Game Theory and Voting Systems : He investigates power indices, weighted voting games, and their applications to political science and decision-making processes. Combinatorial Optimization : His work includes network coding, subspace packings, and algorithmic approaches to classification problems in coding theory. Analysis of Professor Kurz's recent publications reveals a strong focus on the intersection of coding theory and discrete geometry. His work consistently addresses fundamental questions about code parameters, classifications, and constructions, with particular attention to divisible codes and their properties. There's a clear progression from theoretical foundations to computational methods, as evidenced by his increasing use of computer-assisted classification techniques. His research demonstrates significant contributions to understanding the structure of linear codes, subspace codes, and their geometric interpretations. Professor Kurz has made notable contributions to both theoretical and applied aspects of his fields, collaborating with researchers across Europe and beyond. His work bridges pure mathematics with practical applications in information theory and network communication.

• Arithmetic Geometry
• Number Theory
• Algebraic Geometry
• +7 more

Vladimir Dokchitser is a Professor specializing in arithmetic geometry and number theory. His research focuses on Galois representations, elliptic curves, and abelian varieties, with applications to L-functions and the Birch-Swinnerton-Dyer conjecture. He has contributed to the study of semistable reduction types of hyperelliptic curves and their cohomological properties. Key research areas: Arithmetic geometry, Galois representations, and local fields Active collaborations with mathematicians like Tim Dokchitser, Adam Morgan, and Celine Maistret Recent work explores surjective Galois representations, Tamagawa numbers, and cohomology of hyperelliptic curves His publications demonstrate a strong emphasis on algebraic geometry and number theory intersections. Research output includes 11 publications with significant citations in areas like Schur indices and field extensions. Major projects funded by the Royal Society and EPSRC include: Selmer groups of abelian varieties (2018-2021) Arithmetic of hyperelliptic curves (2016-2018) Special values of L-functions and arithmetic (2016-2021)

• Number theory
• Algebraic number theory
• Arithmetic geometry
• +3 more

Ian Kiming is a Professor at the Department of Mathematical Sciences, University of Copenhagen. His primary research areas are Algebraic number theory and Arithmetic geometry , with a focus on automorphic forms, Galois representations, and p-adic aspects. 1996: Habilitation, University of Essen, Germany 1989: Lic. Scient. (Mathematics), University of Copenhagen 1986: Cand. Scient. (Mathematics and Physics), University of Copenhagen Kiming's research explores the interplay between automorphic forms and Galois representations, particularly in p-adic settings. His work includes foundational studies on modular forms, overconvergence, and torsion structures in elliptic curves. Recent publications highlight trends in Eisenstein series , modular forms modulo prime powers , and finiteness properties in arithmetic geometry. Collaborations with Nicolas Rustom and Gabor Wiese underscore his contributions to these fields. Scientific Awards Ole Rømer Fellowship, Danish Natural Science Research Council (1996-2001) Habilitation Fellowship, Deutsche Forschungsgemeinschaft (1994-1996) Teaching and guidance areas include Algebra , Galois theory , and Number theory . Kiming's full publication list is available through his institutional profile.

Pierre BoutryView profile

Associate Professor

• Formal proofs
• Foundations of geometry
• Cryptography
• +1 more

Pierre Boutry is an Associate Professor at the Department of Mathematics and Computer Science of the University of Strasbourg. He is affiliated with the IGG team of the ICube Laboratory. His academic positions include prior roles as a research engineer at Inria and the University of Strasbourg. Education: Ph.D. in Mathematics and Computer Science, University of Strasbourg (2018) M.Sc. in Engineering Mathematics and Computational Science, Chalmers University of Technology (2013) Engineering degree (M.Sc. equivalent), ENSIIE, Strasbourg (2009) Research interests focus on the formalization and foundations of geometry using proof assistants like Coq and Isabelle, cryptography, and automated deduction methods. His work includes contributions to the CV2EC tool for translating cryptographic proofs and formalizing the Poincaré Disc Model for hyperbolic geometry. Key publications include studies on Tarski's axioms, equivalence of parallel postulates, and arithmetization of geometry. He has collaborated with researchers such as Gabriel Braun, Pascal Schreck, and Julien Narboux. Teaching roles span courses on computer-assisted proofs, functional programming, logic, and cryptography. He also co-developed Coq training modules for Inria Academy.

Marc ChamberlandView profile

Professor

• Differential Equations
• Number Theory
• Classical Analysis
• +3 more

Marc Chamberland is a Professor and the Department Chair of Mathematics and Statistics at Grinnell College. He holds the endowed Myra Steele Professorship in Natural Sciences and Mathematics. He received his B.M., M.M., and Ph.D. degrees from the University of Waterloo. His research spans differential equations, number theory, classical analysis, experimental mathematics, discrete dynamics, and combinatorics. Specific interests include the 3x+1 problem, Ducci sequences, the Jacobian Conjecture, and combinatorial identities. With NSF grant support, he has developed materials to integrate computer discovery into mathematics education. Awards: Myra Steele Professor of Natural Sciences and Mathematics (endowed chair) He mentors students in research and collaborates widely, with over 50 publications and 20 co-authors.

• Approximation Algorithms
• Probabilistically Checkable Proofs
• Hardness of Approximation
• +3 more

Amey Bhangale is an Assistant Professor in the Department of Computer Science and Engineering at the University of California, Riverside. Prior to this, he held positions as a post-doctoral fellow at the Weizmann Institute of Science under Irit Dinur and a research fellowship at the Simons Institute. His research focuses on Approximation Algorithms , Probabilistically Checkable Proofs , Hardness of Approximation , and Analysis of Boolean Functions . Research Trends His recent work explores inapproximability bounds for constraint satisfaction problems, parallel repetition theorems, and additive combinatorics in finite fields. Notable collaborations include Subhash Khot, Dor Minzer, and Yang P. Liu. Teaching CS219: Advanced Algorithms (2025) CS141: Intermediate Data Structures and Algorithms (2024) CS218: Design and Analysis of Algorithms (2023) CS215: Theory of Computations (2021-2023)

• Neuropsychology
• Spatial Cognition
• Visual Neglect
• +7 more

Marine Lunven is a Senior Lecturer in Intervenional Neuropsychology at École Normale Supérieure (ENS), Paris, where she conducts research at the Laboratory of Interventional Neuropsychology. Her work focuses on spatial cognition, visual neglect, and neurodegenerative disorders, particularly Huntington’s and Parkinson’s diseases. She is actively involved in developing and validating digital cognitive tools for remote monitoring and assessment. Her research interests span neuropsychology , spatial cognition , prism adaptation therapy , cognitive decline in neurodegeneration , and digital phenotyping . She employs advanced neuroimaging, behavioral testing, and computational methods to understand the neural basis of attention and time perception, especially in patients with right hemisphere damage or basal ganglia disorders. Recent publications (2020–2024) highlight her focus on digitized cognitive assessments (e.g., SelfCog, DAT), speech-based biomarkers in Huntington’s disease, and the anatomical underpinnings of rehabilitation efficacy. Her work shows a strong trend toward integrating clinical neuroscience with digital health technologies for early detection and monitoring of cognitive decline. Scientific Contributions: Developed and validated digital cognitive tests for Huntington’s and Parkinson’s diseases. Investigated the role of the striatum in time perception using neurodegenerative models. Explored the efficacy and neural predictors of prism adaptation therapy in neglect patients. Used graph-based methods and speech analysis to detect spatial and cognitive impairments. She supervises master’s level internships, indicating active mentorship. Collaborators include Paule Bartolomeo, Charlotte Jacquemot, and Anne-Catherine Bachoud-Levi. While no formal awards or grants are listed, her publication record in high-impact journals reflects significant scientific contributions. Her laboratory focuses on interventional neuropsychology, combining behavioral interventions with neurocognitive assessment to improve outcomes in brain-damaged and neurodegenerative patients. The lab appears to emphasize translational research, bridging clinical observation with digital innovation.

• Computer Engineering
• Digital Logic Design
• Signal Processing
• +3 more

Dragan S. Janković is a Full Professor at the Faculty of Electronic Engineering, University of Niš, specializing in Computer Science. His academic career spans over three decades with continuous research contributions since his doctorate in 2001. His educational background includes: Diploma in Electrical Engineering and Computing (1991) Master's in Electrical Engineering and Computing (1995) PhD in Electrical Engineering and Computing (2001) All obtained at the Faculty of Electronic Engineering, University of Niš. Professor Janković's research focuses on advanced computational methods in digital systems, with particular expertise in multi-valued logic, spectral transforms, and decision diagram techniques. His work bridges theoretical computer science with practical circuit design applications, emphasizing optimization algorithms for logic synthesis and signal processing. Current investigations involve recursive algorithm development for polarity matrices and wavelet-based circuit minimization. His publication record shows consistent contributions to high-impact journals, with research trends indicating sustained focus on computational logic structures and their engineering applications over the past 25 years. Key methodological contributions include novel tabular techniques for multi-valued logic and efficient implementations of decision diagram packages. Professor Janković actively participates in research projects with 5 national and 3 international collaborations currently underway, demonstrating ongoing engagement in the academic community.

Chris MillerView profile

Professor

• Model Theory
• Real-analytic Geometry
• Asymptotic Analysis
• +5 more

Chris Miller is a Professor in the Department of Mathematics at The Ohio State University, located at 231 W 18th Ave, Columbus, OH. He holds a PhD from the University of Illinois at Urbana-Champaign (1994), advised by L. van den Dries. His research focuses on applying model theory to real analytic geometry, asymptotic analysis, and o-minimal structures, emphasizing definable sets and functions in well-behaved first-order structures on the real numbers. His work explores foundational questions in model theory, including expansions of o-minimal structures, asymptotic behavior of functions, and the interplay between definability and geometric properties. Recent contributions include corrections to foundational papers on o-minimal expansions, canonical products, and fast sequences. His preprints and upgrades address technical refinements in these areas, advancing the understanding of tameness conditions and definable completeness in ordered fields. Miller’s research also intersects with geometric measure theory and harmonic analysis, with a focus on multifunctionality of definable structures. He actively publishes on topics like harmonic exponential terms and corrections to prior work, maintaining a strong presence in mathematical logic and real analysis. While no explicit awards or grants are listed, his extensive publications reflect sustained contributions to foundational mathematics.

J. Maurice RojasView profile

Professor

• Computational Algebraic Geometry
• Discrete Geometry
• Algebra & Combinatorics
• +5 more

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.