Professor of Applied Mathematics Emeritus, Massachusetts Institute of TechnologyArts and Sciences Distinguished Scholar, University of Miami
EDUCATION:
California Institute of Technology B.S. 1966EMPLOYMENT:Harvard University Ph.D. 1971
1965-1969 Research Scientist, Jet Propulsion Laboratory, Pasadena, CA (summers)VISITING POSITIONS:1968-1970 Teaching Assistant, Harvard University
1970-1971 C.L.E. Moore Instructor of Mathematics, M.I.T.
1971-1973 Miller Research Fellow, University of California, Berkeley
1973-1975 Assistant Professor of Mathematics, M.I.T.
1975-1979 Associate Professor of Mathematics, M.I.T.
1979-2000 Professor of Applied Mathematics, M.I.T.
1993-1996 Chair, Applied Mathematics Committee, M.I.T.
1999-2000 Academic Officer, Department of Mathematics, M.I.T.
2000-2010 Norman Levinson Professor of Applied Mathematics, M.I.T.
2010-2017 Professor of Applied Mathematics, M.I.T.
2014-present Arts and Sciences Distinguished Scholar, Univ. of Miami
2018-present Emeritus Professor of Applied Mathematics, M.I.T.
1978-79 Visiting Associate Professor of Mathematics, University of California, San DiegoPROFESSIONAL ACTIVITIES (selected):March, 1981 Université Louis Pasteur, Strasbourg, France
April-May, 1981 Stockholms universitet, Sweden
Jan.-June, 1986 Sherman Fairchild Distinguished Scholar, California Institute of Technology
May-June, 1990 Universität Augsburg, Germany
September, 1990 Tokai University, Japan
November, 1990 Kungliga Tekniska högskolan (KTH), Stockholm, Sweden
Jan.-May, 1992 Göran Gustafsson Professor, Kungliga Tekniska högskolan (KTH) and Institut Mittag-Leffler, Sweden
Sept. 1996-June 1997 Chern Visiting Professor, University of California at Berkeley
Sept. 1996-June 1997 General Member, Mathematical Sciences Research Institute, Berkeley, California
Sept. 2000-June 2001 Harvard University
Jan.-June, 2005 Kungliga Tekniska högskolan (KTH) and Institut Mittag-Leffler, Sweden
HONORS AND AWARDS:
INVITED TALKS (selected):
DOCTORAL STUDENTS (and date of degree, thesis title):
Ira Gessel | 1977 | Generating Functions and Enumeration of Sequences |
Emden Gansner | 1978 | Matrix Correspondences and the Enumeration of Plane Partitions |
Bruce Sagan | 1979 | Partially Ordered Sets with Hooklengths -- An Algorithmic Approach |
Paul Edelman | 1980 | The Zeta Polynomial of a Partially Ordered Set |
Robert Proctor | 1981 | Interactions Between Combinatorics, Lie Theory and Algebraic Geometry |
Jim Walker | 1981 | Topology and Combinatorics of Ordered Sets |
Dale Worley | 1984 | A Theory of Shifted Young Tableaux |
John Stembridge | 1985 | Combinatorial Decompositions of Characters of SL(n,C) |
Lynne Butler | 1986 | Combinatorial Properties of Partially Ordered Sets Associated with Partitions and Finite Abelian Groups |
Karen Collins | 1986 | Distance Matrices of Graphs |
Sheila Sundaram | 1986 | On the Combinatorics of Representations of the Symplectic Group |
Francesco Brenti | 1988 | Unimodal, Log-Concave and Polya Frequency Sequences in Combinatorics |
Mark Purtill | 1990 | André Permutations, Lexicographic Shellability, and the cd-Index of a Convex Polytope |
Victor Reiner | 1990 | Quotients of Coxeter Complexes and P-Partitions |
David Wagner | 1990 | Enumerative Combinatorics of Partially Ordered Sets, and Total Positivity of Hadamard Products |
Julian West | 1990 | Permutations with Forbidden Subsequences, and Stack-Sortable Permutations |
Art Duval | 1991 | Simplicial Posets -- f-Vectors and Free Resolutions |
Tom Roby | 1991 | Applications and Extensions of Fomin's Generalization of the Robinson-Schensted Correspondence to Differential Posets |
Einar Steingrímsson | 1991 | Permutations Statistics of Indexed and Poset Permutations |
Bo-Yin Yang (楊柏因) | 1991 | Two Enumeration Problems about the Aztec Diamonds |
Clara Chan | 1992 | On Shellings and Subdivisions of Convex Polytopes |
Gábor Hetyei | 1994 | Simplicial and Cubical Complexes: Analogies and Differences |
Timothy Chow | 1995 | Symmetric Function Generalizations of Graph Polynomials |
David Grabiner | 1995 (Harvard) | Walks and Representation Theory |
Tao-Kai Lam | 1995 | B and D Analogues of Stable Schubert Polynomials and Related Insertion Algorithms |
Glenn Tesler | 1995 | Semi-Primary Lattices and Tableau Algorithms |
Christos Athanasiadis | 1996 | Algebraic Combinations of Graph Spectra, Subspace Arrangements and Tutte Polynomials |
Satomi Okazaki | 1996 | Cycle Types of Permutations with Restricted Positions and a Characterization of a New Class of Interval Orders |
Miklós Bóna | 1997 | Exact and Asymptotic Enumeration of Permutations with Subsequence Conditions |
Alexander Postnikov | 1997 | Enumeration in Algebra and Geometry |
Lewis Wolfgang | 1997 | Two Interactions between Combinatorics and Representation Theory: Monomial Immanants and Hochschild Cohomology |
Patricia (Tricia) Hersh | 1999 | Decomposition and Enumeration in Partially Ordered Sets |
Wungkum Fong (方詠琴) | 2000 | Triangulations and Combinatorial Properties of Convex Polytopes |
Mark Skandera | 2000 | Chain Polynomials and Permutation Statistics |
Benjamin Joseph | 2001 | The Involution Principle and h-Positive Symmetric Functions |
Federico Ardila | 2003 | Enumerative and Algebraic Aspects of Matroids and Hyperplane Arrangements |
Peter Clifford | 2003 | Algebraic and Combinatorial Properties of Minimal Border Strip Tableaux |
Caroline (Carly) Klivans | 2003 | Combinatorial Properties of Shifted Complexes |
Peter McNamara | 2003 | Edge Labellings of Partially Ordered Sets |
Edward Early | 2004 | Chain and Antichain Enumeration in Posets, and b-ary Partitions |
Sergi Elizalde | 2004 | Statistics on Pattern-Avoiding Permutations |
Cilanne Boulet | 2005 | Partition Identity Bijections Related to Sign-Balance and Rank |
Thomas Lam | 2005 | Combinatorics of Ribbon Tableaux |
Lauren Williams | 2005 | Combinatorial Aspects of Total Positivity |
Bridget Tenner | 2006 | The Combinatorics of Reduced Decompositions |
Fu Liu (刘拂) | 2006 | Contributions to the Theory of Ehrhart Polynomials |
Jason Burns | 2007 | The Number of Degree Sequences of Graphs |
Pavlo Pylyavskyy | 2007 | Comparing Products of Schur Functions and Quasisymmetric Functions |
Denis Chebikin | 2008 | Polytopes, Generating Functions, and New Statistics Related to Descents and Inversions in Permutations |
Jingbin Yin (殷婧彬) | 2009 | A q-Analogue of Spanning Trees: Nilpotent Transformations over Finite Fields. |
Camillia (Cammie) Smith | 2009 (Harvard) | Enumeration of the Distinct Shuffles of Permutations |
Karola Mészáros | 2010 | Root Polytopes, Triangulations, and Subdivision Algebras |
Hoda Bidkhori | 2010 | Classification and Enumeration of Special Classes of Posets and Polytopes |
Greta Panova | 2011 (Harvard) | Combinatorial Applications of Symmetric Function Theory to Certain Classes of Permutations and Truncated Tableaux |
Steven Sam | 2012 | Free Resolutions, Combinatorics, and Geometry |
Nan Li (李楠) | 2013 | Combinatorial Aspects of Polytope Slices |
Yan Zhang (张研) | 2013 | Adinkras for Mathematicians |
Taedong Yun | 2013 | Diagrams of Affine Permutations and Their Labellings |
Benjamin Iriarte | 2015 | Combinatorics of Acyclic Orientations of Graphs: Algebra, Geometry, and Probability |
Efrat Engel | 2016 | Antichains of Interval Orders and Semiorders, and Dilworth Lattices of Maximum Size Antichains |