Research

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.

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)

- Finite element methods
- Computational geometry and topology
- Machine learning for scientific discovery
- Scientific and high performance computing
- Mathematics of visualization and data science

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

→ *Past conferences listed below*

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. ***

# | Year | Authors | Title | Topic | Status |
---|---|---|---|---|---|

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 |

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

Date | Title | Topic | Forum | Location |
---|---|---|---|---|

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 |

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]

→ *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.