

 

Michael Wolf  Professor  Professor of Mathematics   email:mwolf@rice.edu    B.S. (1981) Yale University
 M.S. (1983), Ph.D. (1986) Stanford University
  Primary Department  Department of Mathematics   

Websites 
 Personal Webpage

 math.rice.edu/~mwolf


Research Areas 
 Differential Geometry, Teichmuller Theory 

LowDimensional Geometric Variational Problems 
 The research of Michael Wolf involves studying
variational and optimization problems on
Riemann surfaces. In particular, he studies the
possible shapes of minimal surfaces (mathematical
idealizations of soap films) in space and
energyminimizing (harmonic) maps of surfaces.
Technically, most of this is applications of
Teichmuller theory to problems in geometry. 

Selected Publications 
 Refereed articles 
 Jon Chaika and Howard Masur and Michael Wolf "Limits in PMF of Teichmuller Geodesics." J. Reine. Angew. Math.In Press 

 Michael Wolf, Yunhui Wu "Uniform Bounds for WeilPetersson Curvatures." Submitted 

 Richard Wentworth and Michael Wolf "Surface Group Representations to SL(2,C) and Higgs Bundles with Smooth Spectral Data." Geometry & Topology, 20 (2016) : 30193032. 

 Subhojoy Gupta and Michael Wolf "Meromorphic quadratic differentials with complex residues, and measured foliations." Proc. 6th Ahlfors Bers Colloquium (Yale University, 2014), Contemporary MathematicsIn Press 

 Subhojoy Gupta, Michael Wolf "Meromorphic quadratic differentials and measured foliations on a Riemann surface." Submitted 

 Subhojoy Gupta, Michael Wolf "Quadratic differentials, halfplane structures, and harmonic maps to trees." Comment. Math. Helv. , 91 (2016) : 317356. 

 David Dumas and Michael Wolf "Polynomial Cubic Differentials and Convex Polygons in the Projective Plane." Geom. Funct. Anal. 25(2015), 17341798., 25 (2015) : 17341798. 

 Weber, Matthias & Wolf, Michael, Handle addition for doublyperiodic Scherk surfaces, Journal für die reine und angewandte Mathematik, Volume 2012, Issue 670. Pages 173216. 

 Wolf, Michael The WeilPetersson Hessian of length on Teichmüller space. J. Differential Geom. 91 (2012), no. 1, 129–169. 

 Ambient Quasiconformal Homogeneity of Planar Domains, (with Petra BonfertTaylor, Richard D. Canary, Gaven Martin, and Edward C. Taylor), Ann. Acad. Sci. Fenn., 35(2010), 275283 

 "An Embedded GenusOne Helicoid", Matthias Weber, David Hoffman, Michael Wolf, Annals of Math 169(2009) 347448. 

 David Dumas, Michael Wolf "Projective Structures, Grafting and Measured
Laminations." Geometry and Topology, 12 (2008) : 351386. 

 Wolf, Michael Minimal graphs in H^2 x R and their projections. Pure and Applied Mathematics Quarterly 3 (2007), no. 3, part 2, 881–896 

 William H. Meeks III, Michael Wolf "Minimal Surfaces with the Area Growth of Two Planes; the case of Infinite Symmetry." Jour. Amer. Math. Soc., 20 (2007): 441465 

 M. Weber, D. Hoffman, M. Wolf "An Embedded Genus One Helicoid." Proc. Nat. Acad. Sci., 102 (November 15, 2005) : 1656616568. 

 Matthias Weber, Wolf, M. "Teichmuller Theory and Handle Addition for Minimal Surfaces." Annals of Mathematics, 156, #3 (2002) : 713795. 

 Benson Farb, Wolf, M. "Harmonic splittings of surfaces." Topology, 40: 13951414. 

 Howard Masur, Wolf, M. "The WeilPetersson Isometry Group." Geometriae Dedicata, 93 (2002) : 177190. 

 Kevin P. Scannell, Wolf, M. "The Grafting Map of Teichmuller Space." Journal of the American Mathematical Society, 15 (5/16/2002) : 893927. 

 Weber, Matthias; Wolf, Michael Teichmüller theory and handle addition for minimal surfaces. Ann. of Math. (2) 156 (2002), no. 3, 713–795. 

 Farb, Benson; Wolf, Michael Harmonic splittings of surfaces. Topology 40 (2001), no. 6, 1395–1414 

 Weber, M.; Wolf, M. Minimal surfaces of least total curvature and moduli spaces of plane polygonal arcs. Geom. Funct. Anal. 8 (1998), no. 6, 1129–1170. 

 Michael Wolf "Measured Foliations and Harmonic Maps of Surfaces." J. Differential Geom., 49 (1998) : 437467. 

 Articles 
 Matthias Weber, Michael Wolf "About the cover: Early Images of Minimal Surfaces." Bull. Amer. Math. Soc. , 48 (2011) : 457460. 

 Editor of books 
 Alan Reid, Ursula Hamenstadt, Rubi Rodriguez, Steffen Rohde, Michael Wolf "In the Tradition of Ahlforsbers, VI. Proceedings of the 5th AhlforsBers Colloquium (Rice University, 2011).." 

 In the tradition of AhlforsBers. V. Papers from the 4th AhlforsBers Colloquium held at Rutgers University, Newark, NJ, May, 2008.Contemporary Mathematics, 510. American Mathematical Society, Providence, RI, 2010. xii+329 pp. 

 D. Hoffman, with assistance of J. Hass, A. Ros, H. Rosenberg, R. Schoen, M. Wolf, editors "Proceedings of the Clay Mathematics Institute
Summer School on Minimal Surfaces." Global Theory of Minimal Surfaces, 2 (2005) : 800 pages. 

 D. Hoffman, J. Hass, A. Ros, H. Rosenberg, R. Schoen, M. Wolf, editors "Proceedings of the Clay Mathematics Institute
Summer School on Minimal Surfaces." : 630 pages.In Press 

 Refereed conference papers 
 Megan McSpedon, Ann Saterbak, Michael Wolf "Summer Bridge Program Structured to Cover Most Demanding STEM Topics." Proceedings ASEE Annual Conference (New Orleans LA) (June 26, 2016) : 2596425977. https://peer.asee.org/25964 

 M. Wolf "Flat Structures, Teichmuller Theory and Handle Addition for Minimal Surfaces." Global Theory of Minimal Surfaces, CMI volume 2 (2005) : 211241. 

 M. Wolf "Minimal Surfaces, Flat Cone Spheres, and Moduli
Spaces of Staircases." Six Themes on Variation, Stud. Math Libr. 26 (2004) 

 Hardt, Robert; Wolf, Michael Harmonic extensions of quasiconformal maps to hyperbolic space. Harmonic morphisms, harmonic maps, and related topics (Brest, 1997), 147–151, Chapman & Hall/CRC Res. Notes Math., 413, Chapman & Hall/CRC, Boca Raton, FL, 2000. 

Presentations 
 Conference Committee Member 
 "Desingularizations of Planes in Space." Brown University, Providence, RI. (April 2007) 

 "AhlforsBers Colloquium." Ann Arbor, MI. (May 1922) 

 "Conference on Singularities in Geometry." Rice University, Houston, TX. (November 1113, 2005) 

 "Global Theory of Minimal Surfaces." American Institute of Mathematics, Palo Alto, CA. (June 610, 2005) 

 Invited Talks 
 "Degenerating Harmonic Maps and Frontiers of Spaces of Representations." Higgs Bundles in Geometry and Physics, Internationales Wissenschaftsforum Heidelberg, Heidelberg, Germany. (3 March 2016) With David Dumas 

 "Lower to LowerMiddle Teichmuller Theory
." The Workshop on Quadratic Differentials, African Institute for Mathematical Sciences, Cape Town, South Africa. (4 January 2016) 

 "SL(2,C) Higgs bundles with smooth spectral data." Universita di Pavia, Pavia, Italy. (February, 2016) With Richard Wentworth 

 "SL(2,C) Higgs bundles with smooth spectral data." Geometry, Topology and Dynamics of Moduli Spaces, Singapore, Singapore. (August, 2016) With Richard Wentworth;Andreas Ott, Jan Swoboda, Richard Wentworth 

 "Polynomial Pick forms for affine spheres, real projective polygons, and surface group representations in PSL(3,R).." Metric and Analytic Aspects of Moduli Spaces, Newton Institute, Cambridge, England. (July, 2015) With David Dumas 

 "Polynomial Pick Differentials and Convex Polygons in the Projective Plane." University of California, Berkeley. (May, 2015) With David Dumas 

 "Polynomial Pick Differentials and Convex Polygons in the Projective Plane." Universita' di Pavia, Pavia, Italy. (June, 2015) With David Dumas 

 "Polynomial Pick Differentials and Convex Polygons in the Projective Plane." University of California, Santa Cruz. (May, 2015) 

 "Polynomial Pick Differentials and Convex Polygons in the Projective Plane." University of California, Davis. (March, 2015) With David Dumas 

 "SL(2,C) Higgs bundles with smooth spectral data." Higher Teichmuller Theory  International Academic Forum, Heidelberg, Germany. (November, 2015) With Richard Wentworth 

 "Polynomial Pick Differentials and Conbvex Polygons in the Projective Plane." University of Paris  Sud (Orsay). (February, 2014) With David Dumas 

 "Polynomial Pick Differentials and Conbvex Polygons in the Projective Plane." TsinghuaSanya International Mathematics Forum (TSIMF), Sanya, China. (December, 2014) With David Dumas 

 "Polynomial Pick Differentials and Conbvex Polygons in the Projective Plane." GEAR Retreat, University of Maryland. (March, 2014) With David Dumas 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", University of Maryland (January, 2013); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", Beijng University (March, 2013); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", Conference on Higher Teichmuller theory, Aarhus, Denmark (August, 2013); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", Yale University (April, 2013); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", Conference on Variatonal Problems and PDE, Granada, Spain (May, 2013); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", Park City Mathematics Institute on Differential Geometry (July, 2013); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", AMS Special Session of the Joint Meetings (January, 2012); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", University of Chicago (May, 2012); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", University of Chicago (January, 2012); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", CUNYITS Symposium on Minimal Surfaces and Teichmuller theory (February, 2012); with David Dumas. 

 "Polynomial Pick Differentials and Polygonal Real Projective Structures", Workshop on Higher TeichmullerThurston Theory, CRM Montreal, (October, 2012); with David Dumas.


 "The WeilPetersson Hessian of Length", CUNY Graduate Center (February, 2012). 

 "Minimal Desingularizations of Planes in Space,." University of Texas Pan American. (May, 2011) With William Meeks 

 "Polynomial Cubic Differentials on Affine Spheres,." Rutgers University, Newark. (December, 2011) With David Dumas 

 "Polynomial Cubic Differentials on Affine Spheres,." Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences , Oberwolfach, Germany. (June, 2011) With David Dumas 

 "Minimal Desingularization of Planes in Space,." Department Colloquium, University of Illinois, Chicago. (March, 2010) With William Meeks 

 "Minimal Desingularizations of Planes in Space,." Department Colloquium, University of Houston, Houston, TX. (November, 2010) With William Meeks 

 "Polynomial Cubic Differentials on Affine Spheres,." Geometry, Topology and Dynamics of Character Varieties, Singapore. (August, 2010) With David Dumas 

 "Teichmuller theory and minimal surfaces in space,." Minimal Surfaces and Mean Curvature Flow, University of Arkansas. (April, 2010) 

 "The WeilPetersson Hessian of Length,." Geometric Structures in Dimension 2 and 3, Autrans, France. (January, 2010) 

 "Minimal Desingulariations of Planes in Space." Tulane University Colloquium, New Orleans, LA. (April, 2009) 

 "The WeilPetersson Hessian of Length." CBMS Conference on the WeilPetersson Metric, Central Connecticut State University. (July, 2009) 

 "Computing in Teichmuller Theory, II." Workshop on Teichmuller Theory, University of Michigan, Ann Arbor, MI. (April, 2007) 

 "Computing in Teichmuller theory, I." Workshop on Teichmuller Theory, University of Michigan, Ann Arbor, MI. (April, 2007) 

 "Desingularizations of Planes in Space." Brown University, Providence, RI. (April, 2007) 

 Colloquium speaker. "Desingularizations of Planes in Space." Portland State University, Portland, OR. (February, 2008) 

 Presenter. "The WeilPetersson Hessian of Length." Pacific Northwest Geometry Seminar, Stanford University. (March, 2008) 

 "The WeilPetersson Hessian of Length." Brown University, Providence, RI. (April, 2007) 

 "The WeilPetersson Hessian of Length." Korean Institute of Advanced Study, Seoul. (September, 2007) 

 Presenter. "The WeilPetersson Hessian of Length." Southest Geometry Seminar, Georgia Tech Universtiy. (December, 2008) 

 "The WeilPetersson Hessian of Length." Brown University, Providence, RI. (April 2007) 

 "The WeilPetersson Hessian of Length." Korean Institute of Advanced Study, Seoul. (September 2007) 

 "Grafting and Projective Structures on Surfaces." Notre Dame, South Bend, Indiana. 

 "Grafting and Projective Structures on Surfaces." Canaryfest conference on Teichmuller Theory and Kleinian Groups, Ann Arbor, Michigan. (December, 2006) 

 "Grafting and Projective Structures on Surfaces." Locally Symmetric Spaces and Discrete Subgroups of Lie Groups, Beijing, China. (July, 2006) 

 "Minimal Desingularization of two Planes in space." Mathematics Institute of the Academia Sinica, Beijing, China. (July, 2006) 

 "Minimal Desingularization of two planes in Space." Notre Dame, South Bend, Indiana. (October, 2006) 

 "Minimal Desingularizations of Planes in Space." International Conference on Teichmuller Theory and Vector Bundles over Riemann Surfaces, Allahabad, India. (January, 2006) 

 "Minimal Desingularizations of the
Intersection of Two Planes." University of Georgia, Athens, GA. (September, 2005) 

 "Minimal Desingularizations of the
Intersection of Two Planes." AIM Conference on Global Theory of Minimal Surfaces, Palo Alto, CA. (June, 2005) 

 "Minimal Desingularizations of the
Intersection of Two Planes." Universite de Tours, Tours, France. (June, 2005) 

 "Minimal Desingularizations of the
Intersection of Two Planes." Princeton University, Princeton, NJ. (April, 2005) 

 "Minimal Desingularizations of the Intersection
of Planes." Wesleyan University, Middletown, MA. (March, 2005) 

 "An Embedded Genus One Helicoid." Pacific Northwest Geometry Seminar, Salt Lake City, Utah. (April, 2004) 

 "Teichmuller Theory and Minimal Surfaces
." Summer School on Minimal Surfaces, Paris, France. (June 30, 2004  July 8, 2004) 

 "An Embedded GenusOne Helicoid." Newton Inst. Workshop on Kleinian Groups, Cambridge, England. (August, 2003) With M. Weber, D. Hoffman 

 "An Embedded GenusOne Helicoid." University of Granada, Granada, Spain. (June,2003) With M. Weber, D. Hoffman 

 "An Embedded GenusOne Helicoid: Teichmullertheoretic aspects." MiniConference on Teichmuller Theory, University of Illinois, Chicago. (November, 2003) With M. Weber, D. Hoffman 

 "Flat Structures in Dynamics, Minimal Surfaces
and Harmonic Maps." AMS Meeting Special Session, Blommington, IN. (April, 2003) 

 "Harmonic Extension of Quasisymmetric Maps of the
Circle." AMSRSME Joint Meeting, Seville, Spain. (June, 2003) With S. Pauls 

 "Minimal Surfaces and Teichmuller Theory." Southern California Geometric Analysis Seminar, La Jolla, CA. (February, 2003) With M. Weber, D. Hoffman 

 "Harmonic Maps to the Hyperbolic Plane." American Mathemtical Society Special Sessions on Mapping Class Groups and the Geometry of Teichmuller Space, Ann Arbor, Michigan. (March 2002) 

 "Harmonic maps to hyperbolic space." Calfornia Institute of Technology, California. (May 2002) 

 "Teichmuller Theory and Handle Addition for Minimal Surfaces." American Mathematical Society Sectional Meeting, Portland, Oregon. (June 2002) 

 "Teichmuller Theory and Handle Addition for Minimal Surfaces." California Institute of Technology, California. (May 2002) 

 "The Grafting Map of Teichmuller Space." XII Esclo de Geometria, Goiania, Brazil. (July 2002) 

 "The Mathematics of Soap Films." RUSMP Fall Meeting, Rice University. (September 2002) 

 Keynote Speaker 
 "How Nature Chooses its Shapes." Murray State University Sigma Xi Dinner, Murray, KY. (March, 2009) 

 "How nature chooses its shape: the mathematics of soap films." Sigma Xi, Tennessee Technological University. (April, 2008) 

 "How nature chooses its shape: the mathematics of soap films." RUSMP Summer Colloquium, Houston. (June, 2008) 

 "How nature chooses its shape: the mathematics of soap films." Sigma Xi, Portland, OR. (February, 2008) 

 Lectures 
 'A Riemannian Approach to Teichmuller Theory" Minicourse (7 lectures) given at Morningside Center, Tsinghua University, March, 2013 

 Colloquium speaker. "How nature chooses its shape: the mathematics of soap films." Lewis and Clark College, Portland, OR. (February, 2008) 

 "Analytic Aspects of the Moduli Space of Curves." Undergraduate Conference on Algebraic Geometry, Rice University. (February, 2006) 

 "Introduction to Teichmuller Theory, I, II." Universite de Tours, Tours, France. (May, 2005) 

 "An Embedded GenusOne Helicoid." University of Oklahoma (Karcher Colloquium), Norman, OK. (November, 2003) With M. Weber, D. Hoffman 

 Other 
 Interview on KPFT  Pacifica radio. 

 "How Nature Chooses its Shapes", Outreach talk to K12 students in "Yale Math Sundays" series, Yale University, April, 2013. 

 "Flat Structures." Clay Mathematics Insititute Summer School
on the Global Theory of Minimal Surfaces, Research Component, Berkeley, CA. (July, 2001) 

 "Handle Addition for Minimal Surfaces." Clay Mathematics Insititute Summer School
on the Global Theory of Minimal Surfaces, Research Component, Berkeley, CA. (July, 2001) 

 "Harmonic Maps and Teichmuller Theory." II Iberoamerican Conference on
Geometry, Guanajuato, Mexico. (January, 2001) 

 "Moduli Spaces of Flat Structures and Period Problems." Clay Mathematics Insititute Summer School
on the Global Theory of Minimal Surfaces, Research Component, Berkeley, CA. (July, 2001) 

 "Teichmuller Theory and Handle Addition
for Minimal Surfaces." Rutgers University, New Brunswick, NJ. (April, 2001) 

 "The Grafting Map on Teichmuller Space." State University of New York, Stonybrook, Stonybrook, NY. (April, 2001) 

 "The Grafting Map on Teichmuller Space." University of Chicago, Chicago, IL. (June, 2001) 

 "Handle Addition for Minimal Surfaces and
Teichmuller Theory." Valley Geometry Seminar, Amherst, MA. (May, 2000) 

 "The Grafting Map of Teichmuller Space." Geometry Seminar, Texas A&M, College Station, Texas. (September, 2000) 

 "The Grafting Map of Teichmuller Space." Colloquium, Universitat Bonn, Bonn, Germany. (June, 2000) 

 "The Grafting map of Teichmuller Space." Colloquium, Amherst College, Amherst, MA. (May, 2000) 

 "The grafting map of Teichmuller Space." Geometry Seminar, Univ. of Minnesota, Univ. of Minnesota. (October 26, 2000) 

 "Teichmuller Theory and Handle Addition for Minimal Surfaces." Indiana University. (March) With Matthias Weber 

 "Teichmuller Theory and Handle Addition for Minimal Surfaces." BarIlan University. (June, 1999) With Matthias Weber 

 "Teichmuller Theory and Handle Addition for Minimal Surfaces." Midrasha 1999, Hebrew University, Jerusalem. (June) With Matthias Weber 

 "The Grafting Map of Teichmuller Space." Midrasha 1999, Hebrew University, Jerusalem. (June, 1999) With Kevin Scannell 

 "The Grafting Map of Teichmuller Space." Indiana University. (February) With Kevin Scannell 

 "Harmonic Maps from Surfaces to Rtrees and Applications." geometric Analysis, Chinese university of Hong Kong. (July, 1998) With Benson Farb 

 "Harmonic Maps from Surfaces to Rtrees and applications." Washington University of St. Louis. (March, 1998) With Benson Farb 

 "Teichmuller Theory and
Handle Addition for Minimal Surfaces." Roever Colloquium, Washington University of St. Louis. (March, 1998) With Matthias Weber 

 "Teichmuller Theory and
Handle Addition for Minimal Surfaces." University of Michigan (Ann Arbor). (November, 1998) With Matthias Weber 

 "Teichmuller Theory and
Handle Addition for Minimal Surfaces." Purdue university (W. Lafayette, IN). (December, 1998) With Matthias Weber 

 "Teichmuller Theory and
Handle Addition for Minimal Surfaces." Geometric Analysis, Chinese University of Hong Kong. (July, 1998) With Matthias Weber 

 "Teichmuller Theory and
Handle Addition for Minimal Surfaces." University of Houston. (February, 1998) With Matthias Weber 

 "Teichmuller Theory and Handle Addition for Minimal Surfaces." MSRI (Berkeley, CA). (December, 1998) With Matthias Weber 

 "The Grafting Map of Teichmuller Space." University of Michigan (Ann Arbor). (November, 1998) With Kevin Scannell 

 Panelist 
 "Research Experiences for Undergraduates in Mathematics at Rice University." National Academy of Sciences Panel on Research Experiences for Undergraduates, Washington, D.C.. (November, 2015) 

 Seminar Speaker 
 "Geometric Analysis of Affine Spheres over Polygons." Northwestern University. (November, 2014) With David Dumas 

 Session Chair 
 Session CoChair, EYWTK Panel (Everything you wanted to know...), GEAR Retreat, Univ. Illi. UrbanaChampaign, August, 2012.


 Workshops 
 "Computing in Teichmuller Theory, II." Workshop on Teichmuller Theory II, University of Michigan, Ann Arbor, MI. (April 2007) 

 "Computing in Teichmuller Theory, II." Workshop on Teichmuller Theory I, University of Michigan, Ann Arbor, MI. (April 2007) 

Editorial Positions 
 Editor, (Coordinating, for Geometry and Topology), Proceedings of the American Mathematical Society. American Mathematical Society. (2014  2018)

 Associate Editor, Journal of Geometric Analysis. (2001  2017)

 Member of the Editorial Board, Proceedings of the American Mathematical Society. American Mathematical Society. (2010  2018)

 Member of the Editorial Board, Proceedings of the American Mathematical Society. American Mathematical Society. (2012  2013)

 Member of the Editorial Board, Bulletin of the American Mathematical Society. American Mathematical Society. (2002  2018)

 Associate Editor, Journal of Geometric Analysis. Mathematica Josephina. (2003  2003)

 Associate Editor, Bulletin of the American Mathematical Society. Anerican Mathematical Society. (2004  2004)

 Associate Editor, Journal of Geometric Analysis. Mathematica Josephina, Inc.. (2002  2002)

 Associate Editor, Bulletin of the American Mathematical Society. Anerican Mathematical Society. (2006  2006)

 Associate Editor, Bull. Amer. Math. Soc.. (2007  2007)

 Associate Editor, Bull. Amer. Math. Soc.. (2008  2008)

 Associate Editor, Bulletin of the American Mathematical Society. Anerican Mathematical Society. (2005  2005)

 Associate Editor, Journal of Geometric Analysis. Mathematica Josephina. (2006  2006)

 Associate Editor, Journal of Geometric Analysis. Amer. Math. Soc.. (2008  2008)

 Member of the Editorial Board, In the tradition of AhlforsBers V (Conference Proceedings). Amer. Math. Soc.. (2012  2012)

 Member of the Editorial Board, Bulletin of the American Mathematical Society. AMS. (2002  2002)

 Associate Editor, Journal of Geometric Analysis, Amer. Math. Soc.. (2007  2007)

 Member of the Editorial Board, Bulletin of the American Mathematical Society. American Mathematical Society. (2003  2003)

 Associate Editor, Journal of Geometric Analysis. Mathematica Josephina. (2005  2005)

 Associate Editor, Journal of Geometric Analysis. Mathematica Josephina. (2004  2004)

 Member of the Editorial Board, Walter Rudin Series in Advanced Mathematics. McGrawHill. (2003  2003)

 Associate Editor, Walter Rudin Book Series. McGrawHill. (2004  2004)

Supervised Theses & Dissertations 
 Matthew McLelland, Ph.D. McLelland. (2002) (Thesis Director)

 Robert Huff, Ph.D. Huff. (2002) (Thesis Director)

 Zheng Huang, Ph. D. Harmonic Maps and the Geometry of Techmuller Space. (2003) (Thesis Director)

 Robert Huff, Ph. D. Flat Structures, Soap Films and Capillary Surfaces. (2003) (Thesis Director)

 Kaan Ozturk, Ph.D. (physics) Bifurcation of Drift Shells near the Day side Magnetopause. (2004) (Thesis Committee Member)

 Aaron Trout, Ph.D. Spaces with Positive Combinatorial Curvature. (2005) (Thesis Committee Member)

 Zheng Meng, Ph.D. Variational Problems with CrossSectional Constraints. (2005) (Thesis Committee Member)

 James Peterson, Ph.D. Coordinate Scans, Compactness Properties, and Area Minimization. (2006) (Thesis Committee Member)

 Soomin Kim, Ph.D. Limits of Minimal Surfaces with Increasing Genus. (2007) (Thesis Director)

 Eric Samansky, Ph.D. Minimizing and flow problems for multiplevalued functions and maps.. (2007) (Thesis Committee Member)

 Eric Samansky, Ph.D. Convergence of Gibbs Measures and the Behavior of Shrinking tubular Neighborhoods of Fractals and Algebraic Sets. (2007) (Thesis Committee Member)

 Eric Samansky, Ph.D. Convergence of Gibbs Measures and the Behavior of Shrinking Tubular Neighborhoods of Fractals and Algebraic Sets.. (2007) (Thesis Committee Member)

 Soomin Kim, Ph.D. Limits of Minimal surfaces with Increasing Genus. (2007) (Thesis Director)

 Eric Samansky, Ph.D. Minimizing and flow problems for multiplevaled functions and maps. (2007) (Thesis Committee Member)

 Matthew McLelland, Ph.D. Deformation of Symmetric Scherk Type Minimal Surfaces. (2009) (Thesis Director)

 Casey Douglas, Ph.D. Perturbed, genus one Scherk surfaces and their geometric limits. (2009) (Thesis Director)

 Ryan Dunning, Ph.D. Asymptotics Under SelfIntersection for Minimizers of SelfAvoiding Energies. (2009) (Thesis Committee Member)

 Janine Dahl, Ph.D. The Spectrum of the Offdiagonal Fibonacci Operator. (2010) (Thesis Committee Member)

 Thomas McGaffey, Ph.D Regularity and nearness theorems for families of local Lie groups. (2011) (Thesis Committee Member)

 Ryan Scott, Ph.D. Minimizing the mass of the codimension two skeleton for unit volume convex polyhedra. (2011) (Thesis Committee Member)

 Zhiyuan Li, Ph.D. Rational Points on K3 Surfaces over Function Field of Complex Curve. (2012) (Thesis Committee Member)

 Colin Carroll, Ph.D. Minimizers of the vectorvalued coarea formula. (2012) (Thesis Committee Member)

 Evelyn Lamb, Ph.D. The Hopf differential and harmonic maps between branched hyperbolic structres. (2012) (Thesis Director)

 Renee Laverdiere, Ph.D. Behavior of the Geodesic Length Function on Grafting Rays. (2012) (Thesis Director)

 Zorawar Wadiasingh, Ph.D. Resonant Compton Scattering in HighlyMagnetized Pulsars. (2014) (Thesis Committee Member)

 Zorawar Wadiasingh, Ph.D. Resonant Compton Scattering in HighlyMagnetized Pulsars. (2014) (Thesis Committee Member)

 Qiongling Li, Ph.D. TBA. (2014) (Thesis Director)

 James Cooper, Ph.D. Two modp Johnson filtrations. (2014) (Thesis Committee Member)

 Qiongling Li, Ph.D. Hitchin components, Riemannian Metric and Asymptotics. (2014) (Thesis Director)

 Jorge Acosta, Ph.D. TBA. (2015) (Thesis Director)

 Andrew Huang, Ph.D. TBA. (2015) (Thesis Director)

 Jorge Arturo Acosta, Ph.D. Holonomy Limits of Cyclic Opers. (2016) (Thesis Director)

 Andrew Huang, Ph.D. Handle Crushing Maps between Surfaces. (2016) (Thesis Director)

 Xian Dai, Ph.D. TBA. (2020) (Thesis Director)

 Charles Ouyang, Ph.D. TBA. (2020) (Thesis Director)

 Quentin Funk, Ph.D. Two variants of the Plateau Problem. (Thesis Committee Member)

 Joseph Barchas , Ph.D. TBA. (Thesis Committee Member)

Awards, Prizes, & Fellowships 
 George R. Brown Award for Excellence in Teaching, Rice University (2013)

 Fellow of the American Mathematical Society (Inaugural Class), American Mathematical Society (2012)

 Distinguished Associate, Will Rice College (may, 2012)

 Distinguished Associate of Richardson College, Rice (May, 2005)

 Outstanding Faculty Associate, Richardson College (Apr., 2004)

 Distinguished Associate, Sid Richardson College (May, 2003)

 Distinquished College Associate, Richardson College (2002)

 U.S. Organizer, II Iberoamerican Conference on Geometry (January 310, 2001)

 Member, AhlforsBers Colloquium Organizing Committee (20012004)

 Organizer, Clay Mathematics Insititute Summer School (June 25  July 28, 2001)

 Organizer, MSRI/Clay Summer School on Minimal Surfaces

 Organizer, 2nd Iberoamericano Conference on Geometry

 Member, Operational Board, American Institute of Mathematics (1997)

Residencies & Summer Festivals 
 Residency 
 Professeur Invite. Invited to spend one month at the
Universite de Tours, Tours, France. (2005)

Positions Held 
 CoOrganizer, Texas Geometry and Topology Conference. (2015  2015)

 Scientific Committee, GEAR (Geometry and Group Representations) Retreat, August 2017 (Stanford Univ.). (2016  2017)

 CoOrganizer, Period of Concentration on Teichmuller Theory, Ennio De Giorgi Mathematical Research Center. (2014  2014)

 Member, Amer. Math. Soc. Program Committee on National Speakers (for Joint Meetings). (2014  2017)

 Judge, Hang Lung Math. Awards and Yau High Math Awards. (2014  2014)

 Member, Mathematical Sciences Research Institute, Mathematical Sciences Research Institute. (2015  2015)

 Distinguished Lecturer, Sigma Xi. (2009  2009)

 Member, Ennio De Giorgi Mathematical Research Center. (2014  2014)

 Scientific Organizing Committee, Wolpert Birthday Conference. (2010  2010)

 Distinguished Lecturer, Sigma Xi. (2007  2007)

 Organizing Board, AhlforsBers Colloquium. (2006  2006)

 Organizing Board, AhlforsBers Colloquium. (2004  2004)

 Organizing Board, AhlforsBers Colloquium. (2005  2005)

 Scientific Committee, Intense period for Teichmuller Theory and Hyperbolic ThreeManifolds. (2012  2012)

 Scientific Organizing Committee, Rigidité et flexibilité en dimensions 2,3,4. (2011  2011)

 Distinguished Lecturership, Sigma Xi. (2006  2006)

 Chair, AhlforsBers Colloquium committee. (2011  2011)

 Organizing Board Member, AhlforsBers Colloquium. (2007  2007)

 Scientific Committee. (2012  2012)

 Organizing Board Member, AhlforsBers Colloquium. (2008  2008)

 Chair, Organizing Board, AhlforsBers Colloquium. (2008  2008)
