Find Academic Supervisors

Peter NejjarView profile

Assistant Professor

• Probability Theory
• Stochastic Processes
• Mathematical Physics
• +3 more

Peter Nejjar is a Tenure-Track Juniorprofessor for Probability Theory at the University of Potsdam since January 2023. His research addresses fundamental questions of universality in stochastic systems , investigating why identical probability distributions emerge across disparate contexts like random matrices and growth models, with connections to combinatorics, mathematical physics, and numerical analysis. His primary research domains include stochastic particle systems (TASEP/ASEP), KPZ universality class phenomena, and Markov chain mixing behavior —particularly the cutoff phenomenon. Nejjar's work reveals deep structural parallels between shock fluctuations in interacting particle systems and random matrix eigenvalue distributions, leveraging connections to algebraic combinatorics through Schur processes. Recent publications demonstrate evolving focus from shock fluctuation theory (2015-2018) toward dynamical phase transitions in KPZ systems (2020-2022) and emerging interdisciplinary applications like DNA-based molecular tagging (2025). His collaborative network prominently features Patrik Ferrari across 7 publications, reflecting sustained focus on universality in exclusion processes.

Vaidehi RamanathanView profile

Professor

• Language Policies
• Sociolinguistics
• Health Communication
• +2 more

Vaidehi Ramanathan is a Professor in the Department of Linguistics at the University of California, Davis. Her research spans language policies, sociolinguistics, health communication (particularly Alzheimer's discourse and medical consultations), refugee resettlement, and citizenship studies. She holds a Ph.D. in Linguistics from the University of Southern California (1994), an M.A. in Linguistics from California State University, Northridge (1989), an M.A. in English Literature from the University of Baroda, India (1987), and a B.A. from St. Xavier’s College, Ahmedabad (1985). Her research integrates qualitative sociolinguistics with critical analysis of language in policy, health, and migration contexts. Key interests include: How language policies regulate minority languages and impact behavior. Sociopolitical dimensions of second language acquisition. Discourses of health institutions and caregiver narratives. Linguistic barriers in refugee resettlement and citizenship processes. Her publications reflect interdisciplinary engagement, merging linguistic analysis with mathematics (graph theory, ring theory) and health sciences (neuropharmacology, pain communication). Recent articles explore medical consultations on opioids, Alzheimer's narratives, and combinatorial algebra, indicating collaborations across STEM fields. She teaches courses such as LIN 280 (Theories of Second Language Development), LIN 263 (Discourse Analysis), and LIN 3 (Language and the Body), emphasizing applied linguistics and critical discourse studies.

Steve ButlerView profile

Professor

• Spectral Graph Theory
• Enumerative Combinatorics
• Mathematics of Juggling
• +3 more

Steve Butler is a Professor and the Barbara J. Janson Professor in the Department of Mathematics at Iowa State University. His research focuses on spectral graph theory, combinatorics, and the mathematics of juggling. He earned his Ph.D. from UC San Diego (2008) under Fan Chung and completed an NSF Postdoc at UCLA with Benny Sudakov. Research Interests: Spectral Graph Theory: Studies eigenvalues of graph matrices, equitable partitions, and Laplacian properties. Recreational Mathematics: Explores mathematical patterns in juggling, card shuffling, and performance. Combinatorics: Investigates Eulerian numbers, distance matrices, and graph automorphisms. Scientific Awards: Barbara J. Janson Professorship (2017) LAS Early Achievement in Teaching Award (2014) Cassling Family Faculty Award (2014) MAA Iowa Section Award for Distinguished Teaching (2015) NSF Postdoctoral Fellowship (2008-2011) Advising and Outreach: Butler actively collaborates with students, producing educational videos and organizing undergraduate research initiatives. He served as Iowa State's calculus coordinator (2018-2020) and contributes to outreach programs for young STEM enthusiasts.

Giulio CavigliaView profile

Professor

• Commutative Algebra
• Algebraic Geometry
• Combinatorics
• +4 more

Giulio Caviglia is a Professor of Mathematics at Purdue University's Department of Mathematics, part of the College of Science. His research focuses on Commutative Algebra and its intersections with Combinatorics, Computational Algebra, and Algebraic Geometry. He has advised multiple PhD students, including current advisees Bek Chase and Cheng Meng, as well as former students like Yihui Liang and Alessio Sammartano. His work explores topics such as Eisenbud-Green-Harris conjectures, Castelnuovo-Mumford regularity, Hilbert functions, and syzygy modules. Notable contributions include studies on sequentially Cohen-Macaulay modules, hyperplane restriction theorems, and lex-plus-powers conjectures. Publications span prestigious journals like Mathematische Annalen and the Journal of Algebraic Combinatorics. Dr. Caviglia's research often combines algebraic and geometric techniques, with applications to monomial ideals, local cohomology, and graded algebra structures. His advising reflects a commitment to training early-career mathematicians in advanced algebraic methodologies.

Saugata BasuView profile

Professor

• Real Algebraic Geometry
• Computational Algebra and Geometry
• Theoretical Computer Science
• +5 more

Saugata Basu is a Professor of Mathematics and Computer Science at Purdue University, with Mathematics as his home department. He holds a joint appointment and has a distinguished academic career, previously serving at the Georgia Institute of Technology, University of Michigan, and IBM T. J. Watson Research Center. His research spans real algebraic geometry, computational algebra and geometry, theoretical computer science, and applied topology. He has authored influential works such as the textbook Algorithms in Real Algebraic Geometry and contributed to foundational results in semi-algebraic geometry and computational complexity. Education: PhD from New York University's Courant Institute (1996) and BTech in Computer Science from IIT Kharagpur (1991). He has held visiting positions at institutions including Université de Rennes, Institute Henri Poincaré, and the Mathematical Sciences Research Institute in Berkeley. Research interests include O-minimal structures, computational topology, and algorithmic semi-algebraic geometry. His work bridges theoretical mathematics with applications in computer science, cryptography, and optimization. Notable awards include the Sloan Fellowship (2003–2005) and NSF Career Award (2002–2007). Grants and collaborations span topics like symmetry in algebraic geometry, quantum computations, and topological data analysis. He frequently presents at leading conferences such as FOCS, STOC, and SIAM Algebraic Geometry.

Giovanni InchiostroView profile

Assistant Professor

• Algebraic Geometry
• Birational Geometry
• Moduli Spaces
• +4 more

Giovanni Inchiostro is an Assistant Professor in the Department of Mathematics at the University of Washington, College of Arts & Sciences. He earned his Ph.D. in Mathematics from Brown University in 2020 under Dan Abramovich's supervision. His research focuses on algebraic geometry, particularly moduli spaces of higher-dimensional varieties, algebraic stacks, birational geometry, and their connections to number theory and combinatorics. He teaches advanced courses in algebraic geometry and linear algebra. Education: Ph.D. in Mathematics, Brown University, 2020 Research Interests: Dr. Inchiostro explores compactifications of moduli spaces using the Minimal Model Program, numeric invariants of moduli spaces (e.g., Brauer group, Chow rings), and applications of algebraic geometry to combinatorics. His work often involves birational geometry, algebraic stacks, and stability conditions. Recent Research Trends: His publications address topics like moduli of elliptic surfaces, wall-crossing phenomena in stable log pairs, and geometric constructions involving blow-ups/blow-downs. He collaborates extensively with researchers like Dori Bejleri and Andrea Di Lorenzo. Teaching: He has taught advanced undergraduate courses (e.g., Introduction to Modern Algebra) and graduate-level algebraic geometry series at UW, alongside linear algebra courses at Brown University.

Alexandru ZaharescuView profile

Professor

• Number Theory
• Analytic Number Theory
• Modular Forms
• +5 more

Alexandru Zaharescu is a Professor of Mathematics at the University of Illinois at Urbana-Champaign (UIUC), affiliated with the Department of Mathematics in the College of Liberal Arts & Sciences. His research focuses on Number Theory, encompassing analytic, algebraic, and geometric aspects with connections to modular forms, L-functions, prime distribution, and partition theory. He holds a Ph.D. from Princeton University (1995). Education: Ph.D. in Mathematics, Princeton University, 1995 Zaharescu's research interests include the Riemann Hypothesis, Farey series, exponential sums, and applications to cryptography and discrete mathematics. Recent work explores geometric interpretations of number-theoretic phenomena, such as angular distributions of lattice points and properties of modular curves. His studies on prime partitions and pseudo-differentiable functions bridge analysis and number theory. His publications reflect a focus on advanced topics like L-functions, divisor functions, and modular forms. Key contributions include proofs of Pollock’s conjectures on icosahedral numbers and statistical analyses of Fermat quotients. Awards: AMS Fellow (2017), LAS Teaching Excellence Award (2010), Center for Advanced Study Associate (2004–05, 2013–14) Zaharescu’s work often intersects with algebraic geometry and combinatorics, addressing problems in both pure and applied mathematics. His research on cyclotomic fields and p-adic valuations contributes to foundational number theory.

Andrew DancerView profile

Professor

• Differential Geometry
• Einstein Metrics
• Ricci Solitons
• +3 more

Professor Andrew Dancer is a Professor of Mathematics at the University of Oxford and John Thomason Tutorial Fellow in Mathematics at Jesus College. He holds a BA and DPhil from Jesus College, Oxford, and has held research fellowships at institutions including the Max-Planck-Institut and IHES. His research focuses on Differential Geometry, particularly Einstein spaces and Ricci solitons, with notable contributions to hyperkähler geometry and implosion theory. Dancer has served as Director of Graduate Studies at the Mathematical Institute and held leadership roles in the London Mathematical Society. He has supervised numerous PhD students and co-authored over 60 publications. His work integrates geometric analysis, mathematical physics, and algebraic methods, with applications to moduli spaces and geometric flows. Education: BA and DPhil in Mathematics from Jesus College, University of Oxford. Academic roles include Acting Vice-Principal of Jesus College and editorial positions at the Quarterly Journal of Mathematics. Awards include the Junior Mathematical Prize and Davies Prize. Research Interests: Differential Geometry, Einstein metrics, Ricci solitons, hyperkähler manifolds, implosion constructions, symplectic duality, and geometric flows. Key contributions include classifications of superpotentials and studies of cohomogeneity-one metrics. Grants: Principal Investigator for EPSRC grants EP/E501958/1 and EP/J00902/1. Administrative roles include Departmental REF Coordinator and MPLS divisional board member.

Sachin GautamView profile

Associate Professor

• Cluster algebras
• Classical and quantum integrable systems
• Flat connections
• +3 more

Sachin Gautam is an Associate Professor in the Department of Mathematics at The Ohio State University, part of the College of Arts and Sciences. His research focuses on representation theory, classical and quantum integrable systems, quantum groups, and braid groups. He completed his PhD at Northeastern University in 2011. Gautam has contributed to foundational work on Yangians, quantum loop algebras, and R-matrices, with applications to integrable systems and algebraic geometry. His teaching includes advanced courses in complex variables, representation theory, and abstract algebra. Gautam’s research is supported by the Simons Foundation, and he actively collaborates with institutions worldwide. He has authored over 20 peer-reviewed articles, with notable work on the meromorphic R-matrix of the Yangian and the monodromy of Casimir connections. His academic contributions span theoretical frameworks linking quantum algebra and representation theory, with recent emphases on elliptic quantum groups and finite-dimensional representations of Yangians. Gautam’s work bridges algebraic structures with geometric and topological insights, impacting modern mathematical physics and pure mathematics.

Martha PrecupView profile

Associate Professor

• Algebraic Geometry
• Combinatorics
• Representation Theory

Martha Precup is an Associate Professor in the Department of Mathematics at Washington University in St. Louis. Her primary research interests lie in algebraic geometry, combinatorics, and representation theory, with a focus on using Lie theory to strengthen connections between these fields. Precup earned her PhD from the University of Notre Dame in 2013 and has held postdoctoral positions at Northwestern University and Baylor University. She currently leads research supported by an NSF CAREER grant and an NSF grant, focusing on Hessenberg varieties, symmetric functions, and combinatorial representation theory. Her work explores geometric objects like Hessenberg varieties, which are subvarieties of flag varieties, and their relationships to combinatorial structures such as tableaux and graphs. Recent projects include analyzing components of Springer fibers, studying K-orbit closures, and investigating connections to the Stanley-Stembridge conjecture. Precup’s research often involves intricate interplay between algebraic geometry and combinatorics, with applications to representation theory and geometric topology. Notable achievements include winning the NSF CAREER award in 2023, recognized for her innovative work integrating research and education. She advises PhD students and contributes to initiatives like the Combinatorics Seminar and Women in Math at WashU. Her publications span prestigious journals such as Annales de l’Institut Fourier , Transformation Groups , and La Matematica , with a focus on geometric and combinatorial properties of algebraic varieties. Current projects include extending the generalized Springer correspondence and exploring torus fixed point sets in Hessenberg varieties. Precup collaborates widely, with co-authors including Megumi Harada, Julianna Tymoczko, and others, advancing the understanding of Hessenberg varieties and their role in modern mathematics.

Bernard De BaetsView profile

Professor

• Fuzzy Set Theory
• Machine Learning
• Cellular Automata
• +3 more

Bernard De Baets is a Senior Full Professor and Head of the Department of Data Analysis and Mathematical Modelling at the Faculty of Bioscience Engineering, Ghent University. He leads the Knowledge-based Systems research unit KERMIT. With interdisciplinary expertise in mathematics, computer science, and knowledge engineering, his research bridges fundamental and applied domains in biological sciences. His research integrates three core threads: Knowledge-based modelling for intelligent systems Predictive modelling using statistical and machine learning approaches Spatio-temporal modelling for dynamic systems analysis Specific domains include Fuzzy Set Theory, Cellular Automata, and hybrid AI methods with applications in environmental science, agriculture, and computational biology. He has authored over 550 peer-reviewed journal papers (accumulating ~25,000 citations) and earned multiple best paper awards. As Editor-in-Chief of Fuzzy Sets and Systems and editorial board member for several journals, he significantly contributes to the scientific community. Major honors include: Honorary Professor at Budapest Tech Doctor Honoris Causa (University of Turku) Professor Extraordinarius (University of South Africa) Fellow of the International Fuzzy Systems Association EUSFLAT Scientific Excellence Award

Divesh AggarwalView profile

Associate Professor

• Lattice Algorithms and Complexity
• Cryptography
• Pseudorandomness
• +6 more

Divesh Aggarwal is an Associate Professor in the Department of Computer Science at the National University of Singapore (NUS) and a Principal Investigator at the Centre for Quantum Technologies (CQT). He leads an active research group with multiple PhD students, postdocs, and collaborators focusing on theoretical computer science and cryptography. His research spans two primary themes: (1) fine-grained complexity and exponential algorithms for hard problems, particularly lattice problems, where he works on both finding faster algorithms and proving lower bounds; and (2) randomness extractors and their applications in cryptography, privacy amplification, and tamper-resilient systems. His work intersects cryptography, computational complexity, and quantum computing. Aggarwal's recent publications (2022-2025) demonstrate continued productivity in lattice-based cryptography, with significant contributions to non-malleable codes, quantum security, and hardness assumptions. His work appears consistently in top venues including STOC, FOCS, CRYPTO, and IEEE Transactions. The research shows a strong trend toward quantum-resistant cryptography and exploring the boundaries between classical and quantum computational hardness. He actively mentors students and researchers, with current PhD students including Zeyong Li, Rishav Gupta, Saswata Mukherjee, Aditya Morolia, and Ananta Mukherjee. His alumni have secured positions at institutions including NUS, IIT Delhi, and XJTLU. Aggarwal also organizes a weekly research seminar where his group discusses theoretical computer science topics. His teaching portfolio includes advanced courses such as Computational Complexity, Pseudorandomness, Design and Analysis of Algorithms, and Introduction to Quantum Computing. He serves on program committees for major conferences including CRYPTO, EUROCRYPT, and STOC, and on editorial boards for journals like Information Processing Letters.

Alexander BargView profile

Professor

• Coding Theory
• Cryptography
• Combinatorics
• +5 more

Dr. Alexander Barg is a Professor of Electrical and Computer Engineering (ECE) at the University of Maryland, College Park, with affiliate appointments in Computer Science, Mathematics, and the Institute for Systems Research. He holds a Ph.D. from the Russian Academy of Sciences (1987). His research focuses on coding theory, quantum codes, information theory, and distributed storage systems. He has advised numerous graduate students and postdocs, contributing to advancements in error-correcting codes and quantum computing. His work spans theoretical foundations and applications, including smoothing of codes, quantum code design, and recoverable storage systems. He has authored over 200 publications and serves on editorial boards of leading journals like IEEE Transactions on Information Theory and Foundations and Trends® in Communications and Information Theory . He teaches graduate and undergraduate courses on information theory, coding, and probability. Research highlights include contributions to classical and quantum coding bounds, LDPC codes, and polar codes. His grants and awards reflect sustained NSF support for projects on discrepancy theory, energy optimization, and distributed storage.

Hoa BuiView profile

Research Fellow

• Operations Research
• Optimisation
• Discrete Optimization
• +4 more

Dr. Hoa Bui is a Research Fellow at Curtin University's Centre for Optimisation and Decision Science, affiliated with the School of Electrical Engineering, Computing and Mathematical Sciences. Her research focuses on Operations Research, Optimization, Combinatorics and Discrete Mathematics, and Variational Analysis. She holds a PhD in Mathematics from Federation University, Australia (2020) and a BSc (Hons) in Mathematics from the University of Education, Ho Chi Minh City, Vietnam (2016). Research Interests: Dr. Bui's work bridges theoretical and applied aspects of optimisation, including discrete optimisation, convex optimisation, and their applications in scheduling, facility location, and combinatorial problems. She also explores variational analysis and graph theory, contributing to both foundational and industry-driven solutions. Awards: Trailblazer Prize Curtinnovation Award (2024) AustMS WIMSIG Cheryl E. Praeger Travel Award (2021) Maryam Mirzakhani Award (2020) Lift-Off Fellowship (2020) Advising & Grants: While her profile does not list formal advisees, her collaborative work indicates involvement in interdisciplinary projects. She is active in grant-funded research, particularly in optimisation for mining and industrial applications. Labs/Teams: Dr. Bui contributes to the Centre for Optimisation and Decision Science, focusing on cutting-edge optimisation methodologies and their real-world implementation.

Christiane LemieuxView profile

Professor

• Quasi-Monte Carlo Methods
• Low-discrepancy Sequences
• Computational Finance
• +3 more

Christiane Lemieux is a Professor in the Department of Statistics and Actuarial Science at the University of Waterloo and Associate Dean of Operations and Academic for the Faculty of Mathematics. Her research focuses on quasi-Monte Carlo methods, low-discrepancy sequences, and their applications in computational finance, machine learning, and risk management. Education includes a Ph.D. in Computer Science from Université de Montréal (2000), M.Sc. in Mathematics from Université de Montréal (1996), and B.Sc. in Actuarial Science from Université Laval (1994). Her research explores quasi-Monte Carlo methods for multidimensional integration, low-discrepancy sequence constructions, dependence concepts for point set characterization, machine learning-based construction paradigms, and applications in finance and risk management. Recent publications demonstrate strong emphasis on combining quasi-Monte Carlo methods with machine learning techniques, particularly graph neural networks for low-discrepancy point set generation and randomized methods for various computational applications. Awards include the Outstanding Performance Award from University of Waterloo (2012, 2018, 2022) and Journal of Complexity IBC Young Researcher Award (2004). She actively supervises graduate students and postdoctoral researchers, and has led several NSERC and MITACS grants supporting her research program.