Julianna Sophia Tymoczko (born 1975) [1] is an American mathematician whose research connects algebraic geometry and algebraic combinatorics, including representation theory, Schubert calculus, equivariant cohomology, and Hessenberg varieties. She is a professor of mathematics at Smith College. [2]
Tymoczko grew up in Western Massachusetts, and studied discrete mathematics at Smith College as a high school student. [3] She was an undergraduate at Harvard University, and wrote a senior thesis on the homotopy groups of spheres, The p-components of the stable homotopy groups of spheres, with Joe Harris and Michael J. Hopkins as faculty mentors. [3] [4] After graduating in 1998, [4] she moved to Princeton University for graduate study, and completed her Ph.D. there in 2003. Her dissertation, Decomposing Hessenberg Varieties over Classical Groups, was supervised by Robert MacPherson. [3] [5]
After being a Clay Liftoff Fellow, NSF Postdoctoral Fellow, and Hildebrandt Assistant Professor at the University of Michigan, she took a tenure-track position at the University of Iowa in 2007. In 2011 she returned to Smith College as a faculty member. She was promoted to full professor in 2019. [6]
Tymoczko was elected as a Fellow of the American Mathematical Society in the 2020 class, for "contributions to algebraic geometry and combinatorics, and for outreach and mentorship". [7]
Tymoczko is one of three children of Thomas Tymoczko, a logician and philosopher of mathematics at Smith College, and comparative literature scholar Maria Tymoczko of the University of Massachusetts Amherst. Her brother, Dmitri Tymoczko, is a music composer and music theorist. [8] She is married to Marshall Poe, a historian at the University of Massachusetts Amherst. [9]
Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.
A. Thomas Tymoczko was a philosopher specializing in logic and the philosophy of mathematics. He taught at Smith College in Northampton, Massachusetts from 1971 until his death from stomach cancer in 1996, aged 52.
The Morgan Prize is an annual award given to an undergraduate student in the US, Canada, or Mexico who demonstrates superior mathematics research. The $1,200 award, endowed by Mrs. Frank Morgan of Allentown, Pennsylvania, was founded in 1995. The award is made jointly by the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. The Morgan Prize has been described as the highest honor given to an undergraduate in mathematics.
Michael Jerome Hopkins is an American mathematician known for work in algebraic topology.
Jacob Alexander Lurie is an American mathematician who is a professor at the Institute for Advanced Study. Lurie is a 2014 MacArthur Fellow.
Dmitri Tymoczko is a composer and music theorist. His music, which draws on rock, jazz, and romanticism, has been performed by ensembles such as the Amernet String Quartet, the Brentano Quartet, Janus, Newspeak, the San Francisco Contemporary Players, the Pacifica Quartet, and the pianist Ursula Oppens. As a theorist, he has published more than two dozen articles dealing with topics related to contemporary tonality, including scales, voice leading, and functional harmonic norms. His article "The Geometry of Musical Chords", was the first music-theory article ever published by the journal Science.
Ileana Streinu is a Romanian-American computer scientist and mathematician, the Charles N. Clark Professor of Computer Science and Mathematics at Smith College in Massachusetts. She is known for her research in computational geometry, and in particular for her work on kinematics and structural rigidity.
James Dillon Stasheff is an American mathematician, a professor emeritus of mathematics at the University of North Carolina at Chapel Hill. He works in algebraic topology and algebra as well as their applications to physics.
Harriet Suzanne Katcher Pollatsek is an American mathematician and Professor Emeritus of Mathematics at Mount Holyoke College.
Brooke Elizabeth Shipley is an American mathematician. She works as a professor at the University of Illinois at Chicago, where she is head of the Department of Mathematics, Statistics and Computer Science. Her research concerns homotopy theory and homological algebra.
Patricia Lynn Hersh is an American mathematician who works as a professor of mathematics at the University of Oregon. Her research concerns algebraic combinatorics, topological combinatorics, and the connections between combinatorics and other fields of mathematics.
Moon Duchin is an American mathematician who works as an associate professor at Tufts University in Medford, Massachusetts. Her mathematical research concerns geometric topology, geometric group theory, and Teichmüller theory. She is also interested in the cultural studies, philosophy, and history of science and mathematics. Duchin is one of the core faculty members and serves as director of the Science, Technology, and Society program at Tufts. She has done significant research on the mathematics of redistricting and gerrymandering, and founded a research group, MGGG Redistricting Lab, to advance these mathematical studies and their nonpartisan application in the real world of US politics.
Megumi Harada is a mathematician who works as a professor in the department of mathematics and statistics at McMaster University, where she holds a tier-two Canada Research Chair in Equivariant Symplectic and Algebraic Geometry.
Catherine Huafei Yan is a professor of mathematics at Texas A&M University interested in algebraic combinatorics.
Hélène Barcelo is a mathematician from Québec specializing in algebraic combinatorics. Within that field, her interests include combinatorial representation theory, homotopy theory, and arrangements of hyperplanes. She is a professor emeritus of mathematics at Arizona State University, and deputy director of the Mathematical Sciences Research Institute (MSRI). She was editor-in-chief of the Journal of Combinatorial Theory, Series A, from 2001 to 2009.
Emily Riehl is an American mathematician who has contributed to higher category theory and homotopy theory. Much of her work, including her PhD thesis, concerns model structures and more recently the foundations of infinity-categories. She is the author of two textbooks and serves on the editorial boards of three journals.
Melody Tung Chan is an American mathematician and violinist who works as Associate Professor of Mathematics at Brown University. She is a winner of the Alice T. Schafer Prize and of the AWM–Microsoft Research Prize in Algebra and Number Theory. Her research involves combinatorial commutative algebra, graph theory, and tropical geometry.
Maria Fleming Tymoczko is a scholar of comparative literature who has written about translation, medieval Celtic literature, and modern Irish literature including the works of James Joyce. She is a professor of comparative literature at the University of Massachusetts Amherst, and the former president of the Celtic Studies Association of North America. She is known for her calls for a more international and multicultural perspective on translation.
Mohamed Omar is a mathematician interested in combinatorics, and algebra. Omar is currently an Associate Professor of Mathematics and the Joseph B. Platt Chair in Effective Teaching at Harvey Mudd College.
Ian P. Goulden is a Canadian and British mathematician. He works as a professor at the University of Waterloo in the department of Combinatorics and Optimization. He obtained his PhD from the University of Waterloo in 1979 under the supervision of David M. Jackson. His PhD thesis was titled Combinatorial Decompositions in the Theory of Algebraic Enumeration. Goulden is well known for his contributions in enumerative combinatorics such as the Goulden-Jackson cluster method.