I've moved websites!

Please visit: https://akgillette\ .github.io/

Content and links below will remain static after April 2021.

Andrew Gillette

Research

Teaching

Contact

** Updated web pages! **

Porting all information below to my new professional web page (some links still being updated as of April 2021).

Brief LLNL profile: available here.

CV and Grants

Click here to download my Curriculum Vitae (last updated January 2019).

The National Science Foundation supports my research in part through award DMS-1913094
   (Collaborative Research award DMS-1912653 with Rob Kirby at Baylor University).

Prior support includes award DMS-1522289.

Employment and Education

Computational Scientist Center for Applied Scientific Computing, Lawrence Livermore National Laboratory (2019-...)
Designated Campus Colleague - Associate, Department of Mathematics, University of Arizona (2020-...)
Associate Professor, Department of Mathematics, University of Arizona (2019-2020)
Member, Program in Applied Mathematics, University of Arizona (2014-...)
Assistant Professor, Department of Mathematics, University of Arizona (2013-2019)
Postdoc in Mathematics, advised by Dr. Michael Holst, UC San Diego (2011-2013)
Ph.D. in Mathematics, advised by Dr. Chandrajit Bajaj, UT Austin (2011)
B.A. in Mathematics, advised by Dr. Rob Benedetto, Amherst College (2004)

Research Interests

Upcoming Conferences

SIAM Conference on Computational Science and Engineering, Fort Worth, TX (virtual), March 2021.

Past conferences listed below

Publications

Here are links to my articles on arXiv.org and Google Scholar.

Here is a one page article about my research written for the general public (from Dec 2014).

    *** Click on a column header to re-sort the table. ***

#YearAuthorsTitleTopicStatus
30 2019 J. Crum, J. Levine, A. Gillette Extending discrete exterior calculus to a fractional derivative
     Computer-Aided Design [bib] [pdf] [doi] [arxiv]
discrete exterior calculus journal article
29 2018 A. Gillette, T. Kloefkorn, V. Sanders Computational serendipity and tensor product finite element differential forms
     SMAI Journal of Computational Mathematics [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
28 2019 A. Gillette, K. Hu, S. Zhang Nonstandard finite element de Rham complexes on cubical meshes
     BIT Numerical Mathematics [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
27 2017 A. Gillette, C. Gross, K. Plackowski Numerical studies of serendipity and tensor product elements for eigenvalue problems
     Involve [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
26 2016 A. Gillette, T. Kloefkorn Trimmed serendipity finite element differential forms
     Mathematics of Computation [bib] [pdf] [doi] [arxiv] [poster]
finite element analysis journal article
25 2016 A. Gillette, A. Rand Shape Quality for Generalized Barycentric Interpolation
     GBCs in Computer Graphics and Computational Mechanics [bib] [doi] [pdf]
finite element analysis book chapter
24 2016 A. Gillette Serendipity and Tensor Product Affine Pyramid Finite Elements
     SMAI Journal of Computational Mathematics [bib] [pdf] [doi] [arxiv] [slides] [poster]
finite element analysis journal article
23 2015 K. Vincent, M. Gonzales, A. Gillette, C. Villongco, S. Pezzuto, J. Omens, M. Holst, A.D. McCulloch High-order interpolation methods for cardiac monodomain simulations
     Frontiers in Physiology [bib] [pdf] [doi]
computational biological modeling journal article
22 2016 S. Christiansen, A. Gillette Constructions of some minimal finite element systems
     Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
21 2016 A. Gillette, A. Rand Interpolation error estimates for harmonic coordinates on polytopes
     Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) [bib] [pdf] [doi] [arxiv] [slides] [poster]
finite element analysis journal article
20 2016 A. Gillette, A. Rand, C. Bajaj Construction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes
     Computational Methods in Applied Mathematics [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
19 2016 M. Floater, A. Gillette Nodal Bases for the Serendipity Family of Finite Elements
     Foundations of Computational Mathematics [bib] [pdf] [doi] [arxiv] [slides] [poster]
finite element analysis journal article
18 2014 P. Kekenes-Huskey, A. Gillette, J.A. McCammon Predicting the influence of long-range molecular interactions on macroscopic-scale diffusion by homogenization of the Smoluchowski equation
     Journal of Chemical Physics [bib] [doi] [slides]
computational biological modeling journal article
17 2014 M. Floater, A. Gillette, N. Sukumar Gradient Bounds for Wachspress Coordinates on Polytopes
     SIAM Journal on Numerical Analysis [bib] [pdf] [doi] [arxiv] [slides]
finite element analysis journal article
16 2014 A. Gillette Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes
     Proc. Approximation Theory XIV [bib] [pdf] [doi] [arxiv] [slides]
finite element analysis proceedings
15 2013 P. Kekenes-Huskey, T. Liao, A. Gillette, J. Hake, Y. Zhang, A. Michailova, A.D. McCulloch, J.A. McCammon Molecular and Sub Cellular-Scale Modeling of Nucleotide Diffusion in the Cardiac Myofilament Lattice
     Biophysical Journal [bib] [doi]
computational biological modeling journal article
14 2012 P. Kekenes-Huskey, A. Gillette, J. Hake, J.A. McCammon Finite Element Estimation of Protein-Ligand Association Rates with Post-Encounter Effects: Applications to Calcium binding in Troponin C and SERCA
     Computational Science and Discovery [bib] [doi]
computational biological modeling journal article
13 2017 A. Gillette, M. Holst, Y. Zhu Finite Element Exterior Calculus for Evolution Problems
     ICMSEC Journal of Computational Mathematics [bib] [doi] [pdf] [arxiv] [slides]
finite element analysis journal article
12 2011 A. Rand, A. Gillette, C. Bajaj Interpolation Error Estimates for Mean Value Coordinates
     Advances in Computational Mathematics [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
11 2011 A. Rand, A. Gillette, C. Bajaj Quadratic Serendipity Finite Elements on Polygons Using Generalized Barycentric Coordinates
     Mathematics of Computation [bib] [pdf] [doi] [arxiv]
finite element analysis journal article
10 2011 A. Gillette Stability of Dual Discretization Methods for Partial Differential Equations
     PhD Dissertation, UT Austin [bib] [pdf] [doi]
finite element analysis dissertation
9 2011 A. Gillette, C. Bajaj Dual Formulations of Mixed Finite Element Methods with Applications
     Computer-Aided Design [bib] [pdf] [doi]
discrete exterior calculus journal article
8 2010 A. Gillette, A. Rand, C. Bajaj Error Estimates for Generalized Barycentric Interpolation
     Advances in Computational Mathematics [bib] [pdf] [doi] [arxiv] [poster]
finite element analysis journal article
7 2010 A. Gillette, C. Bajaj A Generalization for Stable Mixed Finite Elements
     Proc. ACM Symposium on Solid and Physical Modeling [bib] [pdf] [doi] [slides]
     * Winner of Best Paper Award *
discrete exterior calculus proceedings
6 2009 A. Gillette Notes on Discrete Exterior Calculus
     Technical Report, UT Austin [bib] [pdf]
discrete exterior calculus technical report
5 2009 C. Bajaj, A. Gillette, Q. Zhang Stable Mesh Decimation
     Proc. SIAM-ACM Conf. on Geom. and Phys. Modeling [bib] [pdf] [doi] [poster]
computational geometry / topology proceedings
4 2009 C. Bajaj, A. Gillette, S. Goswami, B. Kwon, J. Rivera Complementary Space for Enhanced Uncertainty and Dynamics Visualization
     Topological Methods in Data Analysis and Visualization [bib] [pdf] [doi]
computational geometry / topology book chapter
3 2008 C. Bajaj, A. Gillette Quality Meshing of a Forest of Branching Structures
     Proc. 17th Intl. Meshing Roundtable [bib] [pdf] [doi] [slides]
computational geometry / topology proceedings
2 2007 S. Goswami, A. Gillette, C. Bajaj Efficient Delaunay Mesh Generation From Sampled Scalar Functions
     Proc. 16th Intl. Meshing Roundtable [bib] [pdf] [doi] [slides]
computational geometry / topology proceedings
1 2007 C. Bajaj, A. Gillette, S. Goswami Topology Based Selection and Curation of Level Sets
     Topology-Based Methods in Visualization [bib] [pdf] [doi] [slides]
computational geometry / topology book chapter



Talks

    *** Click on a column header to re-sort the table. ***

DateTitleTopicForumLocation
Mar 2021 Delaunay-Based Assessment of Variational Autoencoders machine learning SIAM Conference on Computational Science and Engineering Fort Worth, TX (virtual)
Feb 2021 Delaunay-Guided Neural Network Design machine learning Colorado State Applied Math Seminar Fort Collins, CO (virtual)
Jul 2020 How I Learned to Stop Worrying and Love Machine Learning Research machine learning Computing Seminar Series LLNL, Livermore, CA
Apr 2019 Basis construction techniques for serendipity-type spaces finite element analysis Polytopal Element Methods in Mathematics and Engineering CIRM, Marseille, France
Mar 2019 How to speed up your tensor product finite element code without really trying finite element analysis AMS Spring Central and Western Joint Sectional Meeting University of Hawaii at Manoa
Dec 2018 Structure Preservation in (Trimmed) Serendipity Finite Element Methods finite element analysis Canadian Math Society Winter Meeting Vancouver, Canada
Nov 2018 (Trimmed) Serendipity Finite Element Methods in Theory and Practice finite element analysis Computational Mathematics Seminar Louisiana State University
Sep 2018 Serendipity Elements: Old and New finite element analysis Geometric and Image Data Sciences Workshop UT Austin
Sep 2018 Polynomial Differential Forms for Efficient Finite Element Methods finite element analysis invited colloquium Baylor University
Jul 2018 Computational Finite Element Differential Forms on Quadrilateral Meshes finite element analysis SIAM Annual Meeting Portland, OR
Mar 2018 From Squares and Cubes to Quads and Hexes: Recent Advances in Conforming Finite Elements finite element analysis CCOM Seminar UC San Diego
Jan 2018 An Introduction to Trimmed Serendipity Finite Element Spaces finite element analysis AMS-MAA Joint Meetings San Diego, CA
Sep 2017 A Plethora of Basis Functions for Quadrilaterals and Hexahedra finite element analysis ENUMATH 2017 Voss, Norway
Sep 2017 Decompositions of (Trimmed) Serendipity Spaces finite element analysis ENUMATH 2017 Voss, Norway
Jul 2017 A "Fifth Column" for the Periodic Table of Finite Elements finite element analysis Polytopal Element Methods in Mathematics and Engineering Milan, Italy
Apr 2017 An algebraist and a numerical analyst walk into a bar... finite element analysis Research Training Group Talks University of Arizona
Mar 2017 Finite Element Methods: Applied theory and theoretical applications finite element analysis Recruitment Workshop Talk University of Arizona
Oct 2016 A New Family of Conforming Finite Elements on Cubical Meshes finite element analysis Computaional Math Seminar University of Pittsburgh
Sep 2016 A "Fifth Column" for Finite Elements finite element analysis Modeling and Computation Seminar University of Arizona
Jun 2016 The Serendipity Pyramid Finite Element finite element analysis Mathematics of Finite Elements and Applications 2016 Brunel University London
Jun 2016 Generalized barycentric coordinates for degenerate geometry in FEM finite element analysis Mathematics of Finite Elements and Applications 2016 Brunel University London
Jan 2016 An Introduction to Research in Finite Element Exterior Calculus finite element analysis Research Training Group Talks University of Arizona
Jan 2016 Polytopal Finite Element Methods: Theory and Application finite element analysis CIMAT Meeting Guanajuato, Mexico
Dec 2015 The State of the Art in Polytopal Finite Element Methods finite element analysis SIAM Conference on Analysis of PDEs Scottsdale, AZ
Nov 2015 Polytopal Element Methods: What, Why, and Where? finite element analysis Modeling and Computation Seminar University of Arizona
Nov 2015 The Rapidly Growing Zoo of Polytopal Finite Element Methods finite element analysis UC Berkeley Applied Math Seminar UC Berkeley
Jul 2015 What is a good linear finite element... on a generic polytope? finite element analysis 13th US National Congress on Computational Mechanics San Diego, CA
Mar 2015 Multiscale biological modeling: Using every area of mathematics that you can imagine biological modeling Recruitment Workshop Talk University of Arizona
Mar 2015 A Brief Introduction to Splines on Triangulations spline functions Research Training Group Talks University of Arizona
Nov 2014 Modern Directions in Finite Element Theory: Polytope Meshes and Serendipity Methods barycentric cooridnates Portland State Math Colloquium Portland, OR
Oct 2014 H(curl) and H(div) Elements on Polytopes from Generalized Barycentric Coordinates barycentric cooridnates Finite Element Circus 2014 Minneapolis, MN
Sep 2014 Multiscale Diffusion Modeling in Charged and Crowded Biological Environments biological modeling Duke Math Biology Colloquium Durham, NC
Jun 2014 Nodal Bases for the Serendipity Family of Finite Elements serendipity elements International Conference on Spectral and High Order Methods 2014 Salt Lake City, UT
Jun 2014 Gradient Bounds for Wachspress Coordinates on Polytopes barycentric coordinates 8th International Conference on Curves and Surfaces Paris, France
Jun 2014 Generalized Barycentric Coordinate Finite Element Methods on Polytope Meshes finite element analysis invited seminar CERMICS, Paris, France
Apr 2014 Polygonal, Polyhedral, and Serendipity Finite Element Methods serendipity elements Computational and Applied Math Seminar Arizona State University
Mar 2014 Cardiac Diffusion Modeling via Homogenization of the Smoluchowski Equation biological modeling Quantitative Biology Colloquium University of Arizona
Jan 2014 Research Problems in Finite Element Theory: Analysis, Geometry, and Applications serendipity elements Research Training Group Talks University of Arizona
Jan 2014 Serendipity Basis Functions for Any Degree in Any Dimension serendipity elements Isogeometric Analysis 2014 Austin, TX
Oct 2013 Computation of Macroscopic Diffusion Constants via Homogenization of the Smoluchowski Equation biological modeling Modeling and Computation Seminar University of Arizona
Sep 2013 An Introduction to Finite Elements or How I Learned to Stop Worrying and Love Functional Analysis finite element analysis Applied Math Brown Bag Seminar University of Arizona
Sep 2013 Cardiac Electrophysiology Modeling with Serendipity Finite Elements serendipity elements Modeling and Computation Seminar University of Arizona
May 2013 Analysis and Application of Polygonal and Serendipity Finite Element Methods barycentric coordinates / serendipity elements invited seminar University of Oslo, Norway
May 2013 Serendipity Finite Element Methods for Cardiac Electrophysiology Models serendipity elements Workshop on Advancing Numerical Technologies in the Cardiac Domain Simula Research Laboratory, Oslo, Norway
Apr 2013 Basis Functions for Serendipity Finite Element Methods serendipity elements 14th International Conference on Approximation Theory San Antonio, TX
Mar 2013 An Introduction to Hermite Serendipity Finite Element Methods serendipity elements invited colloquium Cal Poly Pomona
Feb 2013 Cubic Serendipity Basis Functions for Isogeometric Analysis serendipity elements Advances in Computational Mechanics / Tom Hughes' 70th Birthday San Diego, CA
Feb 2013 Analysis and Applications of Polygonal and Serendipity Finite Element Methods barycentric coordinates / serendipity elements invited colloquium Southern Methodist University
Feb 2013 Hermite Polynomials and Geometric Decompositions serendipity elements invited undergraduate seminar Loyola Marimount University
Feb 2013 Analysis and Applications of Polygonal and Serendipity Finite Element Methods barycentric coordinates / serendipity elements invited colloquium University of Arizona
Jan 2013 Geometric Decomposition of Serendipity Finite Element Spaces serendipity elements AMS-MAA Joint Meetings San Diego, CA
Oct 2012 Fewer Degrees of Freedom, Same Convergence Rate: Recent progress in serendipity finite element methods serendipity elements invited seminar Georgia Tech
Aug 2012 Using FEniCS for Finite Element Methods finite element software tutorial at National Biomedical Computation Resource Summer Institute UC San Diego
Jul 2012 Error Estimates for Generalized Barycentric Coordinate Finite Element Methods barycentric coordinates plenary lecture at NSF Workshop on Barycentric Coordinates Columbia University
Jul 2012 The Geometry of Interpolation Error Estimates for Isogeometric Analysis
   [** audio from SIAM **]
isogeometric analysis SIAM Annual Meeting Minneapolis, MN
Dec 2011 Finite Element Exterior Calculus for Evolution Problems finite element analysis ICES / CVC Seminar UT Austin
Nov 2011 Finite Element Clifford Algebra: A New Toolkit for Evolution Problems
   [** audio from SIAM **]
finite element analysis SIAM Conference on Analysis of PDEs San Diego, CA
Nov 2011 Discrete Exterior Calculus and Polygonal Finite Elements discrete exterior calculus Workshop on Geometric Numerical Methods for PDEs UC San Diego
Oct 2011 Geometric Criteria for Generalized Barycentric Finite Elements barycentric coordinates SIAM-ACM Joint Conference on Geometric and Physical Modeling Orlando, FL
Oct 2011 Generalized Barycentric Coordinates for Polygonal Finite Elements barycentric coordinates CCOM Seminar UC San Diego
May 2011 Stability of Dual Discretization Methods for Partial Differential Equations finite element analysis thesis defense UT Austin
Feb 2011 Modeling Electrical Activity in Neurons with Discrete Calculus biological modeling undergraduate math club UT Austin
Jan 2011 Conforming Vector Interpolation Functions for Polyhedral Meshes discrete exterior calculus invited seminar Los Alamos National Laboratory, NM
Jan 2011 Dual Interpolants for Finite Element Methods finite element analysis AMS-MAA Joint Meetings New Orleans, LA
Nov 2010 Compatibility Conditions for Dual Discretization Methods discrete exterior calculus CVC Group Meeting UT Austin
Sep 2010 A Generalization for Stable Mixed Finite Elements discrete exterior calculus ACM Symposium on Solid and Physical Modeling Haifa, Israel
Jun 2010 Real Algebraic Finite Elements and deRham Cohomology discrete exterior calculus invited seminar KAUST, Saudi Arabia
Apr 2010 DEC-deRham Conformity for Mixed Finite Element Methods discrete exterior calculus Demkowicz Group Meeting UT Austin
Apr 2010 Voronoi Diagrams: Fencing Out Your Neighbors voronoi diagrams Sunday Math Circle UT Austin
Apr 2010 Cohomology Stability Criteria for Mixed Finite Element Methods discrete exterior calculus TACG Seminar UT Austin
Mar 2010 New Model Stability Criteria for Mixed Finite Elements discrete exterior calculus CVC Group Meeting UT Austin
Oct 2009 Multi-scale Modeling of Electric Activity of Spiny Dendrites in the Hippocampus biological modeling AMS Fall Central Section Meeting Baylor University
Jun 2009 Automated Neuronal Reconstruction: Current Challenges and Proposed Quantification biolgoical modeling CVC Group Meeting UT Austin
Feb 2009 Geometric Discretization of Stress and Elasticity discrete exterior calculus CVC Group Meeting UT Austin
Jan 2009 Applications of the Hodge Decomposition to Biological Structure and Function Modeling biological modeling AMS-MAA Joint Meetings Washington, DC
Dec 2008 Applications of the Hodge Decomposition to Biological Structure and Function Modeling biological modeling candidacy exam UT Austin
Oct 2008 Quality Meshing of a Forest of Branching Structures biological modeling 17th International Meshing Roundtable Pittsburgh, PA
Sep 2008 Discrete Mathematics for Molecular Models biological modeling undergraduate math club UT Austin
Aug 2008 Topology-controlled Stable Function Modeling for Biology biological modeling CVC Group Meeting UT Austin
Apr 2008 Persistent Homology: A Tool For Molecular Modeling biological modeling Junior Topology Seminar UT Austin
Jan 2008 The State of Affairs in Protein Modeling biological modeling CVC Group Meeting UT Austin
Nov 2007 Critical Problems with Critical Points computational geometry / topology CVC Group Meeting UT Austin
Oct 2007 Efficient Delaunay Mesh Generation From Sampled Scalar Functions computational geometry / topology 16th International Meshing Roundtable Seattle, WA
Mar 2007 Topology Based Selection and Curation of Level Sets computational geometry / topology Topology In Visualization conference Grimma, Germany
Feb 2007 An Unstable Instance of the Finite Element Method finite element analysis CVC Group Meeting UT Austin



Posters

Trimmed Serendipity Finite Elements
      A. Gillette, T. Kloefkorn
      SIAM Conference on Computational Science and Engineering, 2017.
      [pdf]

Serendipity and Tensor Product Pyramid Finite Elements
      A. Gillette
      Advances in Mathematics of Finite Elements (Ivo Babuska 90th Birthday Conference), 2016.
      [pdf]

What is a good linear finite element... on a generic polytope?
      A. Gillette, A. Rand
      SIAM Conference on Computational Science and Engineering, 2015.
      Advanced Numerical Methods in the Mathematical Sciences, 2015.
      [pdf]

Nodal Basis Functions for Serendipity Finite Elements
      A. Gillette, M. Floater
      ICERM Workshop: Robust Discretization and Fast Solvers for Computable Multi-Physics Models, 2014.
      [pdf]

Exterior Calculus for Generalized Barycentric Interpolation
      A. Gillette, A. Rand, C. Bajaj
      NSF-CBMS Conference: Finite Element Exterior Calculus, 2012.
      [pdf]

Error Estimates for Generalized Barycentric Interpolation
      A. Gillette, A. Rand, C. Bajaj
      IMA Workshop: Numerical Solutions of Partial Differential Equations: Novel Discretization Techniques, 2010.
      [pdf]

Electrophysiological Models Derived from EM Reconstructions
      J. Edwards, A. Gillette, R. K. Bettadapura, A. Rand, C. Rumsey, Q. Zhang, D. Johnston, K. Harris, C. Bajaj
      The National Academies Keck Futures Initiative Conference on Imaging Science, 2010.
      [pdf]

Stable Mesh Decimation
      C. Bajaj, A. Gillette, Q. Zhang
      SIAM-ACM Joint Conference on Geometric and Physical Modeling, 2009.
      [pdf]

Spatially Realistic and Reduced Electrophysiology Models Dervied From EM Reconstruction
      A. Gillette, R. Bettadapura, F. Chowdhury, J. Edwards, A. Gopinath, J. Rivera, B. Subramanian, A. Rand, C. Rumsey, Q. Zhang, D. Johnston, K. Harris, C. Bajaj, T. Bartol, D. Keller, J. Kinney, T. Sejnowski
      MPG-HHMI Janelia Farm High-Resolution Circuit Reconstruction Conference, 2009.
      [pdf]




Conferences and Workshops

Upcoming conferences listed at top of page

Bay Area Scientific Computing Day 2019, Lawrence Berkeley National Laboratory, Berkeley, CA, December 2019.

Polytopal Element Methods in Mathematics and Engineering (PoEMs 2019), Centre International de Rencontres Mathematiques, Marseille, France, April 2019.

AMS Spring Central and Western Joint Sectional Meeting, Honolulu, HI, March 2019.

Canadian Mathematical Society Winter Meeting, Vancouver, Canada, Dec 2018.

Geometric & Image Data Sciences: Big Data Analysis, Graphics & Visualization, Austin, TX, September 2018.

World Congress on Computational Mechanics, New York, NY, July 2018.

SIAM Annual Meeting, Portland, OR, July 2018.

AMS-MAA Joint Mathematics Meetings, San Diego, CA, January 2018.
       Organizer for AMS Special Session on Mathematics of Gravitational Wave Science
       Speaker in AMS Special Session on Recent Trends in Analysis of Numerical Methods of Partial Differential Equations

European Conference on Numerical Mathematics and Advanced Applications, Voss, Norway, September 2017.

Polytopal Element Methods in Mathematics and Engineering (PoEMs 2017), Milan, Italy, July 2017.

CIMAT-UA Workshop and Rabi Fest, Tucson, AZ, March 2017.

SIAM Conference on Computational Science and Engineering, Atlanta, GA, February 2017.

I.H.P. Quarter on Numerical Methods for Partial Differential Equations, Institut Henri Poincaré, Paris, France, September 2016.

Mathematics of Finite Elements and Applications, Brunel University London, England, June 2016.

Advances in Mathematics of Finite Elements (Ivo Babuska 90th Birthday Conference), Austin, TX, March 2016.

SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, AZ, December 2015.

Polytopal Element Methods in Mathematics and Engineering (PoEMs 2015), Atlanta, GA, October 2015.
        Workshop Co-organizer; support from conference grant DMS-1542183 from the National Science Foundation.

13th US National Congress on Computational Mechanics, San Diego, CA, July 2015.
        Co-organizer for mini-symposium
Polygonal and Polyhedral Discretizations in Computational Mechanics

9th International Conference on Geometric Modeling and Processing, Lugano, Switzerland, June 2015.
        Program Co-chair and Guest Editor of the associated
Special Issue of Computer Aided Geometric Design

Advanced Numerical Methods in the Mathematical Sciences, Texas A&M University, May 2015.

SIAM Conference on Computational Science and Engineering, Salt Lake City, UT, March 2015.
        Presented a
poster that appeared in the Minisyposterium on Mixed Finite Element Methods

Finite Element Circus 2014, Minneapolis, MN, October 2014.

IMA Special Workshop: Structure-Preserving Discretizations of Partial Differential Equations, Minneapolis, MN, October 2014.

International Conference on Spectral and High Order Methods, Salt Lake City, UT, June 2014.

8th International Conference on Curves and Surfaces, Paris, France, June 2014.

Robust Discretization and Fast Solvers for Computable Multi-Physics Models, ICERM, Providence, RI, May 2014.

Program in Applied Mathematics 35th Anniversary Meeting, Tucson, AZ, April 2014.

Isogeometric Analysis 2014, Austin, TX, January 2014.

IMA Workshop: Modern Applications of Homology and Cohomology, Minneapolis, MN, October 2013.

14th International Conference on Approxmation Theory, San Antonio, TX, April 2013.

Advances in Computational Mechanics - Celebrating the 70th Birthday of Thomas J.R. Hughes, San Diego, CA, February 2013.

Workshop on Geometric Numerical Methods for PDE: FEEC + AFEM @ UCSD , San Diego, CA, January 2013.

AMS-MAA Joint Mathematics Meetings, San Diego, CA, January 2013.
       Organizer for AMS Special Session on Finite Element Exterior Calculus and Applications

Cardiac Physiome Workshop, San Diego, CA, October 2012.

SIAM Conference on the Life Sciences, San Diego, CA, August 2012.
       Organizer for session on Computational Biological Modeling at the Interface of Molecular Simulation and Continuum Diffusion

National Biomedical Computation Resource Summer Institute (Instructor), UC San Diego, August 2012.

NSF Workshop on Barycentric Coordinates in Geometry Processing and Finite/Boundary Element Methods, New York, NY, July 2012.

SIAM Annual Meeting, Minneapolis, MN, July 2012.

NSF-CBMS Conference: Finite Element Exterior Calculus, ICERM, Providence, RI, June 2012.

SIAM Conference on Analysis of Partial Differential Equations, San Diego, CA, November 2011.

Workshop on Geometric Numerical Methods for PDE, San Diego, CA, November 2011.

SIAM-ACM Joint Conference on Geometric and Physical Modeling, Orlando, FL, October 2011.

Finite Element Rodeo 2011, College Station, TX, February 2011.

Isogeometric Analysis 2011: Integrating Design and Analysis, Austin, TX, January 2011.

AMS-MAA Joint Mathematics Meetings, New Orleans, LA, January 2011.

IMA Workshop: Numerical Solutions of Partial Differential Equations: Novel Discretization Techniques, Minneapolis, MN, November 2010.

ACM Symposium on Solid and Physical Modeling, Haifa, Israel, September 2010.

Algorithms in MacroMolecular Modeling Conference, Austin, TX, November 2009.

AMS Fall Central Section Meeting, Waco, TX, October 2009.

SIAM-ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, October 2009.

Summer School Workshop on Multivariate Splines and Their Applications, Athens, GA, May 2009.

Mathematical Aspects of Imaging, Modelling and Visualization in Multiscale Biology, Austin, TX, March 2009. (Organizer)

AMS-MAA Joint Mathematics Meetings, Washington, DC, January 2009.
       Organizer and speaker for AMS Special Session on Mathematical Models of Biological Structures and Function

17th International Meshing Roundtable, Pittsburgh, PA, October 2008.

IMA Tutorial: Mathematics of Proteins, Minneapolis, MN, January 2008.

16th International Meshing Roundtable, Seattle, WA, October 2007.

Topology in Visualization, Grimma, Germany, March 2007.

AMS-MAA Joint Mathematics Meetings, San Antonio, TX, January 2006.

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