Christopher J. Leininger

Department of Mathematics [email protected] University of Illinois at Urbana Champaign (217)-265-6763 263 Altegeld Hall, 1409 W. Green St. Urbana, IL 61802 U.S. Citizen, Born Dec. 5, 1973

ACADEMIC POSITIONS

University of Illinois, Urbana-Champaign, IL Assistant Professor, Dept. of Math., Fall 2005–present. Columbia University, New York City, NY Assistant Professor/N.S.F. Fellow, Dept. of Math., Fall 2003–Spring 2005. Barnard College, New York City, NY Assistant Professor/N.S.F. Fellow, Dept. of Math., Fall 2002–Spring 2003.

EDUCATION

The University of Texas, Austin, TX Ph.D. in Mathematics, May 2002. Supervisor: Alan W. Reid Ball State University, Muncie, IN B.S. in Mathematics, May 1997

AWARDS & HONORS

University of Texas Graduate School Outstanding Dissertation Award, Spring 2003 N.S.F. Mathematical Sciences Postdoctoral Research Fellowship, Fall 2002–Summer 2005. Sponsor: W. Neumann C.M.I. Liftoﬀ Mathematician, Summer 2002 University Continuing Fellowship, Fall 2000 - Spring 2001 Departmental Fellowships, Spring 1999 and Summer 1998

PAPERS (preprints available at http://www.math.uiuc.edu/∼clein/)

• (w/ R. P. Kent IV) Triples and convex co-compact subgroups of the mapping class group, in progress. • (w/ B. Farb and D. Margalit) Dilatations and Torelli, in progress. • (w/ R. D. Canary) Kleinian groups with discrete length spectrum, submitted. • (w/ R. P. Kent IV) Shadows of mapping class groups: capturing convex co-compactness, submitted.

1 • (w/ D. B. McReynolds)Separable subgroups of the mapping class group, submitted. • Graphs of Veech groups, in progress. • (w/ D. Margalit) Abstract commensurators of braid groups, to appear in J. Algebra. • (w/ A. W. Reid) A combination theorem for Veech subgroups of the mapping class group, to appear in G.A.F.A. Geom. Funct. Anal. • On groups generated by two positive multi-twists: Teichmul¨ ler curves and Lehmer’s number, Geom. Topol., 8 (2004), 1301–1359. • Small curvatures surfaces in hyperbolic 3-manifolds, to appear J. Knot Theory Ramiﬁcations. • Equivalent curves in surfaces, Geom. Dedicata 102 (2003), 151–177. • (w/ A. W. Reid) The co-rank conjecture for 3-manifold groups, Algebr. Geom. Topol. 2 (2002), 37–50. • Compressing totally geodesic surfaces, Topology Appl. 118 (2002), 309–328. • Surgeries on one component of the Whitehead link are virtually ﬁbered, Topology 41 (2002), 307–320.

INVITED PRESENTATIONS

• Special Session on Mahler Measure and Heights, 112th A.M.S. National Meeting, San An- tonio, TX, January 2006. • XXth Nevanlinna Colloquium, E.P.F. Lausanne, Switzerland, August 2005. • Rational Billiards and Flows on Moduli Space, U.I.C., Chicago, IL, June 2005. • Wasatch Topology Conference, Park City, UT, May 2005. • Alhfors Bers Colloquium: Workshop, Ann Arbor, MI, May 2005. • Special Session on Low Dimensional topology and Kleinian groups, A.M.S. Sectional Meeting 1001, Evanston, IL, October 2004. • Conference in Hyperbolic Geometry & Geometric Analysis, Wesleyan U., Middletown, CT, October 2004. • Conference on Combinatorial Topology in Mapping Class Groups, U. of Chicago, Chicago, IL, April 2004. • Special Session on Algebraic Geometry and Topology, A.M.S. Sectional Meeting 994 Talla- hassee, FL, March 2004. • Special Session on Geometry and Topology, A.M.S. Sectional Meeting 981, Salt Lake City, UT, October 2002. • Special Session on Hyperbolic Manifolds and Discrete Groups, A.M.S. Sectional Meeting 974, Ann Arbor, MI, March 2002. • Spring Topology and Dynamical Systems Conference, Morelia, Mexico, March 2001. • Seminars/Colloquia: Boston College, Brown, B.S.U., U. of Chicago, Columbia, Cornell, U.I. Chicago, U.I. Urbana-Champaign, Lafayette College, L.S.U., U. Maryland, U.M. Ann Arbor, S.U.N.Y Buﬀalo, Princeton, Rice, Rutgers, Stony Brook U., U.T. Austin, U. Utah, Yale.

2 TEACHING

Instructor: – U.I.U.C: Calculus III+, Fall2005; – Columbia/Barnard: Groups and Symmetry, Fall 2004; Algebraic Topology I, Fall 2003; Calculus II, Spring 2003; Calculus III, Fall 2002; – U.T.: Pre-calculus/Calculus, Fall 2001. Teaching Assistant: – U.T.: Topology I and Diﬀerential Topology, Spring 2002; Topology I and Algebraic Topology, Fall 1999; Calculus I, Fall 1998; Calculus II, Spring 1998; Calculus I, Fall 1997.

MISCELLANEOUS

Member A.M.S. Co-organizer, Geometric-topology seminar, Columbia U., 2004-2005 academic year Co-organizer, Braids, Links, and Mapping Class Groups, a conference in honor of Joan Bir- man, Spring 2005 Thesis committee member: Harriet Moser (Columbia), Abhijit Champanerkar (Columbia) Oral exam committee member: Harriet Moser (Columbia), Peter Lamberson (Columbia) Journal referee for Transactions of the A.M.S., Geometriae Dedicata, Topology and its Ap- plications.

REFERENCES Joan Birman, Columbia University Benson Farb, University of Chicago Walter D. Neumann, Columbia University Alan W. Reid, University of Texas Patrick Gallagher, Columbia University (teaching)