## Teaching

**At the College of Dunaújváros ** *(1998-2004, 2008-2009)*

- Hungarian and English calculus tutorials and lectures for full-time and part time students
- abstract algebra lectures for full-time students in English

**At the University of Calgary** *(2004-2008)*

- MATH221 (linear algebra) tutorials
- MATH349 (multivariate calculus) tutorials
- PMAT315 (abstract algebra) tutorials
- MATH311 (abstract vector spaces) tutorials

**At the Budapest University of Technology ***(2008-)*

- A1-A3 lectures tutorials (mathematics for engineering students)
- Preengineering geometry and algebra lectures (courses in English about high school mathematics)
- Computer graphics laboratory exercises
- Descriptive geometry lectures and tutorials in Hungarian and in English
- Combinatorial and discrete geometry lectures and tutorials (for MSc students in mathematics)
- Differential geometry tutorials (for BSc students in mathematics)
- Convex geometry lectures and tutorials (for BSc students in mathematics)

**Research Interest:**

Discrete, convex and combinatorial geometry. In particular geometric optimization problems, the geometry of normed spaces, static equilibrium points of convex bodies, etcetera.

## Most important publications

G. Domokos and Z. Lángi, *The isoperimetric quotient of a convex body decreases monotonically under the Eikonal abrasion model*, Mathematika ** 65** (2019), 119-129, arXiv:1801.06796 [math.AP], [math.MG].

G. Domokos, P. Holmes and Z. Lángi, *A genealogy of convex solids via local and global bifurcations of gradient vector fields*, J. Nonlinear Sci. ** 26** (2016), 1789-1815, arXiv:1508.04796 [math.MG], [math.ph], [math.DS]

K. Bezdek and Z. Lángi, *On non-separable families of positive homothetic convex bodies*, Discrete Comput. Geom. ** 56** (2016), 802-813, arXiv:1602.01020 [math.MG].

Z. Lángi, M. Naszódi, J. Pach, G. Tardos and G. Tóth, *Separation with restricted families of sets*, J. Combin. Theory Ser. A ** 144** (2016), 292-305, arXiv:1508.05504 [math.CO], [math.MG]

Z. Lángi, *On a normed version of a Rogers-Shephard type problem*, Israel J. Math. ** 202** (2016), 203-217, arXiv:1308.2500 [math.MG].

M. Hujter and Z. Lángi, *On the multiple Borsuk numbers of sets*, Israel J. Math. , ** 199** (2014), 219-239, arXiv:1206.0892v2 [math.MG], [math.CO]

G. Domokos and Z. Lángi, *The robustness of equilibria on convex solids*, Mathematika ** 60** (2014), 237-256, arXiv:1301.4031v1 [math.MG], [math-ph], [math.DS].

Z. Lángi, *On the Hadwiger numbers of starlike disks*, European J. Comb. ** 32** (2011), 1203-1211, arXiv:1002.3918v3 [math.MG].

Z. Lángi, *On diagonalizable operators in Minkowski spaces with the Lipschitz property*, Lin. Alg. Appl. ** 433** (2010), 2161-2167, arXiv:1003.2285v5 [math.FA].

K. Bezdek, Z. Lángi, M. Naszódi and P. Papez, * Ball-polyhedra*, Discrete Comput. Geom. ** 38** (2007), 201-230. arXiv:1110.4329v1 [math.MG].

## Lectures

**Some of my lectures***:*

*An algorithm to find maximum area polygons circumscribed about a convex polygon*, SIAM Conference on Discrete Mathematics, University of Colorado, Denver, Colorado, USA, June 4-8, 2018.

*The mathematics of pebbles: equilibria and Morse functions*, Geometry Days in Novosibirsk, Sobolev Institute of Mathematics, Novosibirsk, Russia, August 28-31, 2013.

*On a discrete isoperimetric inequality*, Workshop on Discrete Geometry (In: Thematic Program on Discrete Geometry and Applications, July - December 2011), Fields Institute, Toronto, Canada, September 13-16, 2011.

*On the Hadwiger numbers of topological disks*, 115^{th} Annual Meeting of the American Mathematical Society, Washington DC, USA, January 5-8, 2009.

*Isoperimetric inequalities for k _{g}-polygons*, Convex Sets and their Applications, BIRS 06w5059, Banff, Alberta, Canada, March 4-9, 2006.

*Ball-polytopes and 1-convexity*, 2005 Winter Meeting of the Canadian Mathematical Society, Victoria, British Columbia, Canada, December 10-12, 2005.