Martin W. Licht
S.E.W. Visiting Assistant Professor
Center for Computational Mathematics Department of Mathematics University of California, San Diego [Personal Website] Office 5880E mlicht ATSIGN ucsd DOT edu Mail Address: Department of Mathematics The University of California, San Diego 9500 Gilman Dr, # 0112 La Jolla, CA 92093 USA Currently Visitor at: Isaac Newton Institute for Mathematical Sciences University of Cambridge United Kingdom 
Publications and Preprints
 Complexes of Discrete Distributional Differential Forms and their Homology Theory, Found Comput Math (2017) 17: 10851122. [Arxiv] [Journal]
 Smoothed Projections over Weakly Lipschitz Domains. Math. Comp. 88 (315), 179210 [Download] [Arxiv] [Journal]
 Smoothed Projections and Mixed Boundary Conditions. Math. Comp. 88 (316), 607635 [Download] [Arxiv] [Journal]
 PoincaréFriedrichs Inequalities for Complexes of Distributional Differential Forms. With Snorre Christiansen. Accepted for publication in BIT Numerical Mathematics. [Download]
 A divergenceconforming finite element method for the surface Stokes equation. With Andrea Bonito and Alan Demlow. Submitted. [Arxiv]
 HigherOrder Finite Element De Rham Complexes, Partially Localized Flux Reconstructions, and Applications. Submitted. [Download]
 Geometric Transformation of Finite Element Methods. With Michael Holst. Submitted. [Download] [Arxiv]
 On Basis Constructions in Finite Element Exterior Calculus. Submitted. [Download] [Arxiv]
 Newest Vertex Bisection over General Triangulations. With Michael Holst and Zhao Lyu. Submitted. [Download]
 Smoothed Projections over Compact Riemannian Manifolds. With Snorre Christiansen. In Preparation.
Education
01/2014  06/2017 
PhD in Mathematics, University of Oslo. Thesis: On the A Priori and A Posteriori Error Analysis in Finite Element Exterior Calculus. [Download] 
10/2006  12/2013 
Diplom (Master's degree) in Mathematics, University of Bonn. Diplom thesis: Smoothed Analysis of Linear Programming. [Download] Final grade: "sehr gut". 
10/2006  06/2012 
Diplom (Master's degree) in Mathematics, University of Bonn. Diplom thesis: Discrete distributional differential forms and their applications. Final grade: "sehr gut". 
Further Education 

Since 07/2019  Visitor at Isaac Newton Institute, University of Cambridge, UK 
07/2018  08/2018  MicroMBA, Rady School of Management, UCSD. 
09/2015  05/2016  Visiting Research Scholar, University of Minnesota. 
06/2010  09/2010 
Visiting Scholar, Jülich Supercomputing Centre. Domain Distribution for parallel Modeling of Root Water Uptake. Proceedings 2010, JSC Guest Student Programme on Scientific Computing, 2010. [Link] 
Research Interests
 Finite element exterior calculus
 Structurepreserving numerical methods for partial differential equations
 Partial differential equations over manifolds
 Numerical linear algebra


Discrete harmonic vector fields on an annullus, computed with a lowestorder Nedéléc method. Once with tangential boundary condition (left), then with normal boundary conditions (right). 
Code
Teaching
 Introduction to Numerical Analysis: Ordinary Differential Equations — Math 170C, Spring Quarter 2020
 Math 18, Spring Quarter 2020
 Introduction to Numerical Analysis: Approximation and Nonlinear Equations — Math 170B, Winter Quarter 2020
 Math 18, Winter Quarter 2020
 Mathematical Reasoning — Math 109, Spring Quarter 2019
 Introduction to Numerical Analysis: Linear Algebra — Math 170A, Winter Quarter 2019
 Introduction to Numerical Analysis: Approximation and Nonlinear Equations — Math 170B, Winter Quarter 2019
 Numerical Linear Algebra — Math 270A, Fall Quarter 2018
 Calculus III — Math 10C, Spring Quarter 2018
 Mathematical Reasoning — Math 109, Winter Quarter 2018
 Applied Linear Algebra — Math 102, Fall Quarter 2017