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Scholarly Interest Report
         
Michael Wolf
Professor
Professor of Mathematics
 
e-mail:mwolf@rice.edu
 
  • B.S. (1981) Yale University
  • M.S. (1983), Ph.D. (1986) Stanford University
 
Primary Department
   Department of Mathematics
Picture
 
Websites
 Personal Webpage
 math.rice.edu/~mwolf
 
Research Areas
 Differential Geometry, Teichmuller Theory
 
Low-Dimensional 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
energy-minimizing (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 Weil-Petersson 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) : 3019-3032.

 
 

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, half-plane structures, and harmonic maps to trees." Comment. Math. Helv. , 91 (2016) : 317-356.

 
 

David Dumas and Michael Wolf "Polynomial Cubic Differentials and Convex Polygons in the Projective Plane." Geom. Funct. Anal. 25(2015), 1734-1798., 25 (2015) : 1734-1798.

 
 

Weber, Matthias & Wolf, Michael, Handle addition for doubly-periodic Scherk surfaces, Journal für die reine und angewandte Mathematik, Volume 2012, Issue 670. Pages 173-216.

 
 

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

 
 

Ambient Quasiconformal Homogeneity of Planar Domains, (with Petra Bonfert-Taylor, Richard D. Canary, Gaven Martin, and Edward C. Taylor), Ann. Acad. Sci. Fenn., 35(2010), 275-283

 
 

"An Embedded Genus-One Helicoid", Matthias Weber, David Hoffman, Michael Wolf, Annals of Math 169(2009) 347-448.

 
 

David Dumas, Michael Wolf "Projective Structures, Grafting and Measured Laminations." Geometry and Topology, 12 (2008) : 351-386.

 
 

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): 441-465

 
 

M. Weber, D. Hoffman, M. Wolf "An Embedded Genus One Helicoid." Proc. Nat. Acad. Sci., 102 (November 15, 2005) : 16566-16568.

 
 

Matthias Weber, Wolf, M. "Teichmuller Theory and Handle Addition for Minimal Surfaces." Annals of Mathematics, 156, #3 (2002) : 713-795.

 
 

Benson Farb, Wolf, M. "Harmonic splittings of surfaces." Topology, 40: 1395-1414.

 
 

Howard Masur, Wolf, M. "The Weil-Petersson Isometry Group." Geometriae Dedicata, 93 (2002) : 177-190.

 
 

Kevin P. Scannell, Wolf, M. "The Grafting Map of Teichmuller Space." Journal of the American Mathematical Society, 15 (5/16/2002) : 893-927.

 
 

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) : 437-467.

 
 Articles
 

Matthias Weber, Michael Wolf "About the cover: Early Images of Minimal Surfaces." Bull. Amer. Math. Soc. , 48 (2011) : 457-460.

 
 Editor of books
 

Alan Reid, Ursula Hamenstadt, Rubi Rodriguez, Steffen Rohde, Michael Wolf "In the Tradition of Ahlfors-bers, VI. Proceedings of the 5th Ahlfors-Bers Colloquium (Rice University, 2011).." 

 
 

In the tradition of Ahlfors-Bers. V. Papers from the 4th Ahlfors-Bers 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) : 25964-25977.


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) : 211-241.

 
 

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 quasi-conformal 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)

 
 

"Ahlfors-Bers Colloquium." Ann Arbor, MI. (May 19-22)

 
 

"Conference on Singularities in Geometry." Rice University, Houston, TX. (November 11-13, 2005)

 
 

"Global Theory of Minimal Surfaces." American Institute of Mathematics, Palo Alto, CA. (June 6-10, 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 Lower-Middle 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." Tsinghua-Sanya 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", CUNY-ITS Symposium on Minimal Surfaces and Teichmuller theory (February, 2012); with David Dumas.

 
 


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

 
 

"The Weil-Petersson 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 Weil-Petersson 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 Weil-Petersson Hessian of Length." CBMS Conference on the Weil-Petersson 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 Weil-Petersson Hessian of Length." Pacific Northwest Geometry Seminar, Stanford University. (March, 2008)

 
 

"The Weil-Petersson Hessian of Length." Brown University, Providence, RI. (April, 2007)

 
 

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

 
 

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

 
 

"The Weil-Petersson Hessian of Length." Brown University, Providence, RI. (April 2007)

 
 

"The Weil-Petersson 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 Genus-One Helicoid." Newton Inst. Workshop on Kleinian Groups, Cambridge, England. (August, 2003) With M. Weber, D. Hoffman

 
 

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

 
 

"An Embedded Genus-One Helicoid: Teichmuller-theoretic aspects." Mini-Conference 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." AMS-RSME 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" Mini-course (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 Genus-One 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 K-12 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." Bar-Ilan 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 R-trees and Applications." geometric Analysis, Chinese university of Hong Kong. (July, 1998) With Benson Farb

 
 

"Harmonic Maps from Surfaces to R-trees 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 Co-Chair, EYWTK Panel (Everything you wanted to know...), GEAR Retreat, Univ. Illi. Urbana-Champaign, 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 Ahlfors-Bers 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. McGraw-Hill. (2003 - 2003)

 Associate Editor, Walter Rudin Book Series. McGraw-Hill. (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 Cross-Sectional 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 multiple-valued 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 multiple-valed 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 Self-Intersection for Minimizers of Self-Avoiding Energies. (2009) (Thesis Committee Member)

 Janine Dahl, Ph.D. The Spectrum of the Off -diagonal 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 vector-valued 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 Highly-Magnetized Pulsars. (2014) (Thesis Committee Member)

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

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

 James Cooper, Ph.D. Two mod-p 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 3-10, 2001)

 Member, Ahlfors-Bers Colloquium Organizing Committee (2001-2004)

 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
 Co-Organizer, Texas Geometry and Topology Conference. (2015 - 2015)

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

 Co-Organizer, 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, Ahlfors-Bers Colloquium. (2006 - 2006)

 Organizing Board, Ahlfors-Bers Colloquium. (2004 - 2004)

 Organizing Board, Ahlfors-Bers Colloquium. (2005 - 2005)

 Scientific Committee, Intense period for Teichmuller Theory and Hyperbolic Three-Manifolds. (2012 - 2012)

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

 Distinguished Lecturership, Sigma Xi. (2006 - 2006)

 Chair, Ahlfors-Bers Colloquium committee. (2011 - 2011)

 Organizing Board Member, Ahlfors-Bers Colloquium. (2007 - 2007)

 Scientific Committee. (2012 - 2012)

 Organizing Board Member, Ahlfors-Bers Colloquium. (2008 - 2008)

 Chair, Organizing Board, Ahlfors-Bers Colloquium. (2008 - 2008)