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Zsolt PatakfalviView profile

Associate Professor

• Algebraic Geometry
• Commutative Algebra
• Birational Geometry
• +3 more

Zsolt Patakfalvi is an Associate Professor at École Polytechnique Fédérale de Lausanne (EPFL), holding positions in the School of Basic Sciences (SB) within the Department of Mathematics (MATH). He is affiliated with the Chair of Algebraic Geometry (CAG) and the Section of Mathematics for Engineers (SMA-ENS). Additionally, he serves as Director of SMA-GE and holds roles in academic governance bodies like the Conference of Section Directors (CDS) and SB Faculty Management. His research focuses on Algebraic Geometry, particularly in birational geometry, positive characteristic methods, moduli theory, and mixed characteristic algebra. He explores topics such as Hodge theory, singularities, and applications to arithmetic geometry. Notable contributions include work on the minimal model program, test ideals, and counterexamples to classical conjectures in positive characteristics. He supervises doctoral students in areas like algebraic geometry and commutative algebra, including Jefferson Baudin, Léo Navarro Chafloque, and Linus Rösler. His past advisees include Emelie Arvidsson and Quentin Posva. Patakfalvi’s publications frequently address foundational questions in geometry, with recent work extending into perfectoid spaces and globally-regular varieties. He coordinates courses such as 'Algebra III - Rings and Fields' and 'Perfectoid spaces' at EPFL, reflecting his commitment to both research and education. His academic service includes managing educational programs within SB-SMA and contributing to institutional decision-making through CDS membership.

Qile ChenView profile

Associate Professor

• Algebraic Geometry
• Moduli Spaces
• Logarithmic Geometry
• +3 more

Qile Chen is an Associate Professor in the Department of Mathematics at Boston College . His research focuses on Algebraic Geometry , particularly in Logarithmic Geometry , Moduli Spaces , and Gromov-Witten Theory . He has made significant contributions to understanding A^1-connectedness , Stable Log Maps , and Virtual Cycles in geometric contexts. His publications include collaborations with leading mathematicians such as Dan Abramovich , Felix Janda , Yi Zhu , and Dawei Chen . Key topics span Logarithmic GLSM , Multi-scale Differentials , and Spin/Hyperelliptic Structures . Recent Articles : Punctured logarithmic maps (2025), Gorenstein contractions (2024), Campana rational connectedness (2024) Co-advised Student : Zijian Han (Ph.D. in progress at Boston College)

Joe WaldronView profile

Assistant Professor

• Algebraic Geometry
• Birational Classification
• Positive Characteristic
• +3 more

Joe Waldron is an Assistant Professor in the Department of Mathematics at Michigan State University (MSU), located in C335 Wells Hall. His research focuses on algebraic geometry, particularly the birational classification of algebraic varieties in positive and mixed characteristic, with connections to commutative algebra and arithmetic geometry. He holds a PhD from the University of Cambridge under Caucher Birkar, followed by postdoctoral positions at Princeton University and the École Polytechnique Fédérale de Lausanne (EPFL). His work is supported by NSF Grant #2401279 and a Simons Foundation Gift #850684. Waldron is actively involved in academic outreach, co-organizing the First-Generation/Low-Income (FGLI) mentorship program in MSU's mathematics department. This initiative connects FGLI students with faculty and graduate student mentors to support their academic and career goals. He also contributes to the Michigan algebraic geometry symposium and the MSU algebra seminar. His research interests include advanced topics such as Mori fibre spaces, test ideals in mixed characteristic, and the log minimal model program (LMMP) for threefolds. He has published extensively on geometrically non-reduced varieties, singularities in positive characteristics, and purely inseparable Galois theory. Waldron’s grants fund explorations into foundational algebraic geometry problems, emphasizing cross-disciplinary connections with commutative algebra. His involvement in departmental initiatives reflects his commitment to fostering inclusive academic environments and mentoring underserved student populations.

Lionel C. BriandView profile

Professor

• Software Engineering
• Software Verification and Validation
• Trustworthy AI
• +6 more

Lionel C. Briand is a Professor of Software Engineering with shared appointments at the University of Luxembourg's SnT Centre for Security, Reliability, and Trust and the School of Electrical Engineering and Computer Science at the University of Ottawa. He holds a Canada Research Chair (Tier 1) in Intelligent Software Dependability and Compliance and serves as Director of Lero, Ireland's national software research center. His academic leadership spans over 25 years of collaborative research with industry partners across automotive, aerospace, energy, financial, and legal domains. Professor Briand's research focuses on software verification and validation, trustworthy AI systems, model-driven engineering, and empirical software engineering methodologies. His work bridges theoretical foundations with industrial applications, particularly in cyber-physical systems where machine learning components interact with safety-critical control systems. He has pioneered techniques for testing AI-enabled systems, GDPR compliance automation, and mutation analysis for space systems. His publication portfolio demonstrates consistent innovation in software testing, with recent emphasis on large language models for test generation, automated compliance checking, and safety analysis of deep neural networks. Key trends include black-box testing methodologies, metamorphic testing for security, and search-based approaches for DNN validation. IEEE Fellow and ACM Fellow IEEE Computer Society Harlan Mills Award (2012) ACM SIGSOFT Outstanding Research Award (2022) IEEE Reliability Society Engineer-of-the-Year Award (2013) ERC Advanced Grant recipient (2016) Fellow of the Academy of Science, Royal Society of Canada (2023) ICSE 2011 Most Influential Paper Award As Director of Lero and holder of a Canada Research Chair, Professor Briand leads major research initiatives including an ERC Advanced Grant on cyber-physical system modeling and testing. His industrial collaborations generate substantial grant funding, particularly in automotive safety validation and regulatory compliance automation. He mentors numerous researchers through his dual appointments and serves on program committees for top software engineering conferences. Professor Briand directs research activities at the SnT Centre's SVV department, focusing on software verification and validation. His team develops practical tools like MASS for space system mutation analysis and COREQQA for compliance requirements understanding, with strong industry adoption in automotive and aerospace sectors.

Louis EsserView profile

Lecturer

• Algebraic Geometry
• Equivariant Birational Geometry
• Optimization in Algebraic Geometry

Louis Esser is an instructor in mathematics at Princeton University. He received his PhD from UCLA in 2023 under the supervision of Burt Totaro. Esser co-organizes the Princeton Algebraic Geometry Seminar and the Princeton Algebraic Geometry Preprint Seminar. His research focuses on algebraic geometry, specifically equivariant birational geometry and optimization problems. Esser teaches undergraduate mathematics courses including Algebra I (MAT345), Honors Linear Algebra (MAT217), Multivariable Calculus (MAT201), and Linear Algebra with Applications (MAT202). His publications primarily explore birational geometry, Fano varieties, hypersurfaces, automorphism groups, and singularities. Recent work shows strong emphasis on classification problems in algebraic geometry, minimal model program applications, and geometric structures with group symmetries. Collaborative projects frequently involve topics at the intersection of algebraic geometry, topology, and invariant theory.

• Algebraic Geometry
• Moduli Spaces
• Birational Geometry
• +3 more

Dori Bejleri is an Assistant Professor in the Department of Mathematics at the University of Maryland, College Park. Prior to this, he was a Benjamin Peirce and NSF postdoctoral fellow at Harvard University (2019–2023) and an NSF postdoctoral fellow at MIT (2018–2019). He earned his PhD in 2018 from Brown University under Dan Abramovich's supervision. His research focuses on algebraic geometry, particularly moduli spaces and birational geometry, with connections to number theory, enumerative geometry, combinatorics, and geometric representation theory. His work is supported by NSF grant DMS-2401483. He has organized several academic events, including the JHU-UMD Algebra and Number Theory Day (2024) and the Perspectives on Moduli in Algebraic Geometry conference (2025). Bejleri has taught graduate courses such as Rationality Questions in Algebraic Geometry (Spring 2022), Birational Geometry of Algebraic Varieties (Fall 2020), and Moduli Spaces in Algebraic Geometry (Fall 2019). His research spans topics like wall-crossing phenomena in moduli spaces, compactifications of elliptic surfaces, and motivic Hilbert zeta functions. He has also contributed to the study of stable log pairs and geometric representation theory. His teaching and research reflect a commitment to advancing foundational questions in algebraic geometry while engaging with interdisciplinary connections. His academic contributions include organizing seminars and mentoring students through advanced topics in geometry and topology.

• Numerical Analysis
• Uncertainty Quantification
• Inverse Problems
• +3 more

Oliver G. Ernst is a Professor of Numerical Analysis at Technische Universität Chemnitz . His research focuses on Numerical Analysis , Uncertainty Quantification , and Inverse Problems , with applications in Thermo-Hydro-Mechanical (THM) processes , Electromagnetics , and Stochastic Partial Differential Equations . He is associated with the Numerical Analysis group at TU Chemnitz. Key Research Areas : Efficient numerical methods for PDEs Krylov subspace techniques Stochastic finite element methods Multi-physics modeling Geoscientific applications Recent Publications (2025-2010): THM simulations under uncertainty Neural network PDE solvers Bayesian inversion frameworks Rational Krylov algorithms Deflated restarting strategies Collaborations : TU Bergakademie Freiberg University of Manchester Technical University of Munich University of Maryland University of Geneva Software Development : Contributor to OpenGeoSys platform Developer of FEMALY MATLAB library Academic Recognition : h-index 32, i10-index 66, with over 4423 citations since 2020.

• Algebraic Geometry
• Birational Geometry
• Minimal Model Program
• +5 more

Yoshinori Gongyo is a Professor at the Graduate School of Mathematical Sciences, University of Tokyo . His research focuses on Birational Geometry within Algebraic Geometry , particularly on the Abundance Conjecture , Minimal Model Program , and Log Fano Varieties . He has worked extensively on vanishing theorems, extension theorems, and the geometry of algebraic varieties in positive characteristic, including Globally F-regular and F-split Varieties . His research also explores Polarized Endomorphisms and their applications to complex geometry. Selected awards include the MSJ Takebe Katahiro Prize (2011), JSPS Ikushi Prize (2012), and the University of Tokyo President's Prize (2012). He was also awarded the MSJ Algebra Prize (2023) and the MEXT Young Scientists' Prize (2023). He has held positions at the University of Tokyo since 2011, progressing from Assistant Professor to Professor. He has collaborated internationally, including at Imperial College London and Johns Hopkins University , and serves on the Public Relations Committee of the Mathematical Society of Japan (2018–2023).

Alexander BorisovView profile

Associate Professor

• Algebraic Geometry
• Number Theory
• Discrete Geometry
• +4 more

Alexander Borisov is an Associate Professor of Mathematics at Binghamton University (since 2014), specializing in Algebraic Geometry, Number Theory, and Discrete Geometry. He holds a Ph.D. from Pennsylvania State University (1996). His research focuses on intersections of algebraic geometry with number theory, including topics like toric varieties, polynomial maps, and arithmetic dynamics. Borisov has advised multiple Ph.D. students, including Sayak Sengupta (2024), Pat Carney (2023), and Changwei Zhou (2019). He organizes the Upstate New York Online Number Theory Colloquium and contributes to academic leadership through roles like seminar coordination. His teaching includes advanced courses like Honors Calculus (Math 230) and Arithmetic Seminar (Math 562). Research outputs span over 30 publications, with recent work emphasizing polynomial dynamics and geometric structures. Borisov maintains active collaborations, reflected in joint papers with mathematicians like Valery Alexeev and Mikhail Sapir.

Martin Skovgaard AndersenView profile

Associate Professor

• Optimization
• Signal Processing
• Machine Learning
• +12 more

Martin Skovgaard Andersen is an Associate Professor in the Department of Applied Mathematics and Computer Science at the Technical University of Denmark (DTU), where he specializes in Scientific Computing. His research integrates numerical methods, optimization, and machine learning to solve complex computational problems in engineering and data science. Education: Ph.D., University of California, Los Angeles (2006–2011) M.Sc., Aalborg Universitet (2001–2006) Postdoc, Linköping University, Sweden (2011–2012) His research interests include optimization (particularly conic and stochastic programming), numerical algorithms, signal processing, system identification, and fast solvers for integral equations. He works extensively on matrix analysis, regularization, and low-rank approximations, contributing to both theoretical and applied advancements in computational mathematics. The recent publications highlight a strong trend in developing efficient numerical algorithms for large-scale optimization and solving integral equations. His work emphasizes preconditioning, matrix truncation, and Bayesian inversion, with applications in electromagnetics, structural health monitoring, and network identification. There is a consistent focus on improving computational efficiency and scalability of solvers. Scientific Awards: No specific awards mentioned in the provided text. Andersen actively supervises PhD students and leads multiple research projects, including those on non-symmetric conic optimization, data-sparse models, and fast direct solvers. He is the Principal Investigator (PI) on projects related to physics-informed structural health assessment. His collaborative network spans Denmark and international institutions, particularly in computational mathematics and engineering. Labs and Research Teams: He is affiliated with the Scientific Computing section at DTU, which focuses on high-performance computing, numerical algorithms, and mathematical modeling. His work is embedded in a collaborative environment involving researchers in optimization, control theory, and computational electromagnetics.

Karen E. SmithView profile

Professor

• Commutative Algebra
• Algebraic Geometry
• Prime Characteristic Methods
• +3 more

Karen E. Smith is the William Fulton Distinguished University Professor and Department Chair of Mathematics at the University of Michigan, Ann Arbor, where she has been a faculty member since 1996. She holds a PhD from the University of Michigan (1993) under Melvin Hochster and has held positions at Purdue University and MIT. Her research focuses on commutative algebra and algebraic geometry, particularly tight closure theory, Frobenius splitting, and singularities in algebraic varieties. Smith’s work bridges algebra and geometry, with significant contributions to understanding F-rational rings, rational singularities, and multiplier ideals. She has authored influential papers such as *F-rational rings have rational singularities* (1997) and *Uniform bounds and symbolic powers on smooth varieties* (2001), earning her the 2001 Ruth Lyttle Satter Prize. She co-authored the textbook *An Invitation to Algebraic Geometry* (2000) and contributed to *Rational and Nearly Rational Varieties* (2004). Her leadership includes chairing Michigan’s Mathematics Department, directing the graduate program for nearly two decades, and co-founding the Erdös Institute to support graduate students in non-academic careers. Smith is a member of the National Academy of Sciences and the American Academy of Arts and Sciences.

Maksym FedorchukView profile

Professor

• Algebraic Geometry
• Moduli Theory
• Geometric Invariant Theory (GIT)
• +3 more

Maksym Fedorchuk is a Professor in the Department of Mathematics at Boston College. He holds a S.B. from MIT and a Ph.D. from Harvard University. His research focuses on algebraic geometry, particularly moduli problems and geometric invariant theory (GIT). He has contributed significantly to the Hassett-Keel program, exploring log canonical models of moduli spaces of curves, and has studied GIT stability of syzygies and Hilbert points of curves. His work often involves collaborations on topics like moduli spaces of weighted stable curves, Fano varieties, and the geometry of canonical curves. Key research themes include stability conditions in GIT, log minimal model programs for moduli spaces, and the interplay between algebraic geometry and combinatorial structures. Fedorchuk has published extensively in top journals such as Inventiones mathematicae , Compositio Mathematica , and Duke Math. J. . His recent work addresses K-moduli of Fano varieties and the symmetric F-conjecture. He has also developed computational tools, including a Macaulay2 package for analyzing direct sum decomposability of polynomials. Professional activities include organizing workshops such as AGNES@BC 2024 and maintaining an active research page with preprints and lecture notes. His contributions bridge foundational theory with computational methods, influencing both pure algebraic geometry and adjacent fields like quantum information through moduli of qubit states.

Jakub WitaszekView profile

Assistant Professor

• Algebraic Geometry
• Birational Geometry
• Positive Characteristic Algebraic Geometry
• +3 more

Jakub Witaszek is an Assistant Professor of Mathematics at Princeton University, affiliated with the School of Mathematics. His research focuses on algebraic geometry, particularly in birational geometry, minimal model programs, and singularities in positive and mixed characteristics. He holds an office in Fine Hall 602 and can be reached at jw0269@princeton.edu . Witaszek's work explores foundational questions in algebraic geometry, including the behavior of varieties under birational transformations, the structure of singularities, and the interplay between characteristic-zero and positive-characteristic methods. His research often employs techniques from Frobenius splittings, global liftability, and resolution of singularities in both classical and mixed settings. His publications address topics ranging from quasi-F-splittings in birational geometry to the minimal model program for threefolds in specific characteristics. He has contributed to understanding Keel's basepoint-free theorem in mixed characteristics and canonical bundle formulas in log geometry. While no awards or grants are explicitly cited, his active publication record reflects sustained engagement with cutting-edge problems in the field. Witaszek’s current research directions include advancing MMP frameworks in low characteristics, studying global Frobenius liftability, and analyzing tamely ramified morphisms in positive characteristics. His work bridges classical algebraic geometry with modern tools, contributing to the unification of methods across different characteristics.

Thomas MadisonView profile

Professor

• Accounting
• Tax Policy
• Cost Accounting
• +4 more

Thomas Madison, Ph.D., CPA , is the Ed Boyles Professor of Accounting and current Chair of the Department of Accounting at the Greehey School of Business, St. Mary’s University (San Antonio, Texas). Since joining the faculty in 1998, he has also served as Department Chair (2003–2017) and Associate Dean of the Greehey School (2017–2021). Beyond academia, he coordinates the university’s Volunteer Income Tax Assistance (VITA) program, a community-outreach partnership with the St. Mary’s School of Law that has generated more than $7 million in tax refunds for low-income families over the past five years. Education Ph.D., Accounting — Texas Tech University (1998) M.B.A. — Angelo State University (1994) B.B.A. — Angelo State University (1989) B.A. — University of Texas at Austin (1972) Research & Teaching Focus Madison’s scholarship spans cost and financial accounting, tax policy, accounting education, corporate social responsibility, and fraud detection . His empirical work has examined bank-insider trading, organizational downsizing, the tax effects of scholarships and grants, and the efficacy of internal controls in preventing collusive fraud. In the classroom he teaches Cost Accounting, Financial Accounting, Management Control Systems, and Accounting for Decision Making at the graduate level, and has co-led immersive economic-development courses in Nicaragua, Bangladesh, and Bolivia for St. Mary’s International Relations program. Publications & Intellectual Contributions Across more than two decades, Madison’s research trajectory has moved from early studies on manufacturing downsizing and productivity to recent investigations of tax policy anomalies and the pedagogical impact of experiential service-learning. Collectively, his articles illuminate the intersection of accounting practice, public policy, and societal welfare—especially how sound accounting and tax systems can foster equitable economic development. Honors & Awards 2003 Distinguished Faculty Member, Greehey School of Business 2009 Community Service Award, St. Mary’s Alumni Association 2010 & 2011 Community Service Award, Greehey School of Business 2012 Marianist Heritage Award 2018 Santa Maria Justice Award, St. Mary’s Law Community Engagement & Grants Madison directs St. Mary’s VITA program, mobilizing student volunteers who have logged over 20,000 hours preparing 4,000+ tax returns for low-income San Antonio residents. This sustained outreach effort represents a significant in-kind grant of professional accounting services to the community and serves as a living laboratory for student development. Laboratories & Teams While no formal research laboratory is listed, Madison leads the VITA program as a practical, community-based learning environment and collaborates with multidisciplinary teaching teams in St. Mary’s International Relations graduate program for immersive economic-development courses abroad.

Joshua WeisView profile

Assistant Professor

• Bariatric Surgery
• Minimally Invasive Surgery
• Robotic Surgery
• +4 more

Joshua Weis, M.D., is an Assistant Professor at UT Southwestern Medical Center's Department of Surgery and serves as clinical faculty at the Veterans Affairs Hospital in Dallas. His expertise focuses on bariatric surgery, minimally invasive gastrointestinal procedures, robotic surgery, and complex hernia repairs. He holds a medical degree from the University of Pittsburgh and completed his residency at Parkland Hospital, followed by a fellowship in minimally invasive and bariatric surgery at the University of Texas Health Science Center in Houston. Dr. Weis is actively involved in surgical education, contributing to curriculum development and training programs such as the SAGES Advanced GI/MIS Certificate Program. He has pioneered robotic abdominal wall reconstruction techniques and specializes in revisional surgeries for patients with prior bariatric surgery complications. His research emphasizes surgical training standards, the integration of robotics in education, and resident well-being. Education: MD: University of Pittsburgh School of Medicine General Surgery Residency: Parkland Hospital, Dallas, TX Fellowship: Minimally Invasive & Bariatric Surgery, University of Texas Health Science Center, Houston Dr. Weis has authored over 20 peer-reviewed publications and book chapters, focusing on surgical education innovations, robotic surgery advancements, and fellowship training benchmarks. He received the prestigious 2020 SAGES Researcher in Training Award for his contributions to surgical education research. In addition to his clinical work, he has contributed to national initiatives such as the SAGES Safe Cholecystectomy Modules and collaborative studies on pandemic impacts on surgical training. His advocacy for resident wellness led to the development of tools like the 'Fuel Gauge' for assessing surgical trainee well-being.