I am a mathematician teaching computer science students math. My research interests are connected to topology and its applications to computer science. Lately I have been working mostly in computational topology. Computational topoogy is an exciting growing field on the border between mathematics and computer science, the central topic of the European Science Foundation networking programme Algebraic and Computational Topology. I am also a member of the Institute for Mathematics, Physics and Mechanics of Slovenia.

**Office Hours:**

**Courses:**

## Activities and Events

**Selected papers**

AYALA, Rafael, VILCHES, Jose Antonio, JERŠE, Gregor, MRAMOR KOSTA, Neža. Discrete gradient fields on infinite complexes. *Discrete and continuous dynamical systems*

JERŠE, Gregor, MRAMOR KOSTA, Neža. Ascending and descending regions of a discrete Morse function. *Computational geometry *

MRAMOR KOSTA, Neža, TRENKLEROVÁ, Eva. Basic sets in the digital plane. * *Lecture notes in computer science, ISSN 0302-9743, 4910, 2008, str. 376-387.

JAWOROWSKI, Jan, MRAMOR KOSTA, Neža. The degree of maps of free G-manifolds. *Journal of fixed point theory and its applications*, ISSN 1661-7738, 2007, vol. 2, no. 2, str. 209-213.

KING, Henry C., KNUDSON, Kevin, MRAMOR KOSTA, Neža. Generating discrete Morse functions from point data. *Experimental mathematics*, ISSN 1058-6458, 2005, vol. 14, no. 4, str. 435-444.

JURČIČ-ZLOBEC, Borut, MRAMOR KOSTA, Neža. Geometric constructions on cycles. *Rocky Mountain journal of mathematics.*

CENCELJ, Matija, MRAMOR KOSTA, Neža, VAVPETIČ, Aleš. G-complexes with a compatible CW structure. *Journal of mathematics of Kyoto University*.

**Selected invited talks**

Perfect discrete Morse functions. GETCO 2015, Aalborg, Denmark.

How can topology help to better understand data? Department of Mathematical Sciences at Aalborg University, November 24, 2014.

*Discrete Morse functions on infinite complexes*. Discrete, Computational and Algebraic Topology, University of Copenhagen, November 10-14, 2014

*Parametric discrete Morse theory*. Applied and Computational Algebraic Topology, July 15-19, 2013, Universität Bremen

*Topology and data*. METU Department of Mathematics, Ankara, Mathematics Seminars, Fall 2013

*Discrete Morse theory*. Applied & Computational Algebraic Topology Bologna: ACAT Advanced School, May 2012.

The cohomology of locally free groups. Workshop on Topology of Wild Spaces and Fractals, July 4-8, 2011, Strobl (Austria).

## Projects

### Closed Projects

- Applied computational and algebraic topology (ACAT), International Project, 2011−2015
- Randomness verification and irregularity analysis of a mechanical random generator that is to be part of a game machine, Industry-Funded Project, 2008−2008
- Optimization of the shape of yacht hulls, Industry-Funded Project, 2007−2008
- Algorithms for control of scnning probe microscopes using quartz tuning forks , Basic Research and Application Project, L2-6045, 2004−2006