John M. Sullivan
Assistant Professsor in the
Department of Mathematics
University of Illinois at Urbana-Champaign
250
Altgeld Hall (MailCode-382)
1409 W. Green Street
Urbana, Illinois 61801-2975
Education
- Princeton University, Ph.D. in Mathematics, 1990.
- Cambridge University,
Certificate of Advanced Study in Math., with honors, 1986.
- Harvard University, A.B. summa cum laude, fourth in class, 1985.
Faculty Positions and Fellowships
- Associate Professor, Department of Mathematics, University of Illinois (Urbana), 2000-
- Faculty Fellow, Department of Theoretical & Applied Mechanics, 2000-
- Faculty Fellow, National Center for Supercomputing Applications, 2000-2001
- Acting Director, Center for Process Simulation and Design, May-Dec 2000
- Assistant Professor, Department of Mathematics, University of Illinois (Urbana), 1997-2000
- Assistant Professor, School of Mathematics, University of Minnesota, 1991-1997
- Visiting Assistant Professor, University of Illinois (Urbana), 1996
- Visiting Assistant Professor, Center for GANG, University of Massachusetts (Amherst), 1995
- Mathematical Sciences Research Institute Postdoctoral Fellow, 1993-1994
- Geometry Computing Group Postdoctoral Fellow, 1990-1993
- National Science Foundation Graduate Fellow, 1986-1989
- Henry Fellow at King's College, Cambridge, 1985-1986
Selected Research Publications
- On the Minimum Ropelength of Knots and Links,
with Jason Cantarella and Rob Kusner,
Inventiones Math., 2002, to appear.
- Cubic Polyhedra,
with Chaim Goodman-Strauss,
in Discrete Geometry, Dekker, 2002, to appear.
- Approximating Ropelength by Energy Functions,
in Physical Knotting, AMS Contemp. Math., 2002, to appear.
- Dynamic Skin Triangulation,
with Ho-Lun Cheng, Tamal Dey and Herbert Edelsbrunner,
Discrete and Comput. Geom. 25, 2001, pp 525-568.
- Constant Mean Curvature Surfaces with Three Ends,
with Karsten Große-Brauckmann and Rob Kusner,
Proc. Nat'l Acad. Sci. USA 97:26, 2000, pp 14067-14068.
- New Tetrahedrally Close-Packed Structures,
in Proc. Eurofoam 2000 (Delft), pp 111-119.
- Tight Knot Values Deviate from Linear Relations,
with Jason Cantarella and Rob Kusner,
Nature 392:6673, 1998, pp 237-238.
- Constant Mean Curvature Surfaces with Cylindrical Ends,
with Karsten Große-Brauckmann and Rob Kusner,
in Mathematical Visualization, Springer, 1998, pp 107-116.
- The Minimax Sphere Eversion,
with George Francis et al,
in Visualization and Mathematics, Springer, 1997, pp 3-20.
- Using Symmetry Features of the Surface Evolver to Study Foams,
with Ken Brakke,
in Visualization and Mathematics, Springer, 1997, pp 95-117.
- Möbius Energies for Knots and Links, Surfaces and Submanifolds,
with Rob Kusner, in
Geometric Topology, International Press, 1996, pp 570-604.
- Sphere Packings Give an Explicit Bound for the Besicovitch
Covering Theorem,
J. Geometric Analysis 4:2, 1994, pp 219--231.
- Monotonicity Theorems for Two-Phase Solids,
with Frank Morgan, Francis Larché,
Arch. Rat. Mech. Anal. 124:4, 1994, pp 329-353.
- Computing Hypersurfaces Which Minimize Surface Energy
Plus Bulk Energy, in Motion by Mean Curvature and Related Topics,
de Gruyter, 1994, pp 186-197.
- Minimizing the Squared Mean Curvature Integral for Surfaces in
Space Forms, with Lucas Hsu and Rob Kusner,
Experimental Math. 1:3, 1992, pp 191-207.
Published Videos
- The Optiverse,
with George Francis and Stuart Levy,
in VideoMath Festival at ICM'98, Springer, 1998, 7-minute video.
- Knot Energies,
in VideoMath Festival at ICM'98, Springer, 1998, 3-minute video.
- Using Max-Flow/Min-Cut to Find Area-Minimizing Surfaces,
in Computational Crystal Growers Workshop, AMS Sel. Lect. Math.,
1992, pp 107-110 plus video.
- Crystalline Approximation: Computing Minimum Surfaces via Maximum Flows,
in Computing Optimal Geometries, AMS Selected Lectures in Math.,
1991, pp 59-62 plus video.
- Computing Soap Films and Crystals,
with Fred Almgren, Ken Brakke, Jean Taylor,
in Computing Optimal Geometries, 1991, 14-minute video.
Selected Invited Conference Lectures 1997-2002
- 2002
- AMS Central Section (Madison)
- 2001
- Physical Knotting and Unknotting (AMS meeting, Las Vegas);
Geometry of Curves and Surfaces (AMS meeting, Columbia)
- 2000
- Multimedia Tools for Mathematics (Lisbon);
Mathematics, Art and Culture (Bologna);
Geometrie (Oberwolfach)
Int'l Soc. of Art and Math (Albany)
- 1999
- Bridges Conference (Kansas);
Int'l Soc. of Art and Math (Spain);
Differential Geometry (AMS meeting, San Antonio)
- 1998
- Geometry Day (EIU); SIGGRAPH (Orlando)
- 1997
- VisMath'97 (Berlin); SIAM GD'97 (Nashville); Foams and
Emulsions (Corsica); PDEs (AMS meeting, Maryland);
Computational 3D Topology (MSRI, Berkeley)
Selected Colloquium Lectures at Math Departments
- 2002
- UMass Amherst; U Wisconsin; U Pittsburgh; Texas Tech
- 1999-2001
- U Georgia; Indiana U; WashU StLouis
- 1996-1998
- UIUC; U Iowa; U Arkansas
- 1993-1995
- U Wisconsin; U Minnesota; Florida SU; Northwestern U;
Grant support
- 2000-2003, PI, NSF grant DMS-0071520,
Optimal Geometry: Theory and Computation
- 1999-2004, Dept. Educ. grant,
Illinois Professional Learners Partnership.
- 1998-2002, Co-PI, NASA grant,
Fluid Physics of Foam Evolution and Flow,
with Aref and Thoroddsen (UIUC TAM).
- 1998-2001, Co-PI, NSF/DARPA OPAAL grant DMS-9873945,
Center for Process Simulation and Design,
through UIUC CSE program.
- 1997-2000, PI, NSF grant DMS-97027859,
Theory and Computation of Optimal Geometries
- 1997-1999, Arnold O. Beckman Research Award, UIUC Research Board.