I am a final year PhD student supervised by Prof. John Jones and Prof. Artur Czumaj.

I enjoy algebraic topology and combinatorics and that is why my recent research concentrates in combinatorial algebraic topology. I am also interested in stable homotopy theory, model categories and simplicial methods and algorithmic aspects of topology.

More: CV

E-mail: aszek AT mimuw DOT edu DOT pl.

Events

• Sheffield-Warwick joint seminar on modern foundations of stable homotopy theory

Papers and preprints @arXiv

• Ongoing projects in (various stages of) progress
  1. f-vectors of three-dimensional flag Gorenstein* complexes via extremal graph theory, with Jan Hladky
  2. Algorithmic complexity of finding cross-cycles in flag complexes, with Juraj Stacho


• Topology
  1. Hard squares on cylinders revisited
     [arxiv/1202.1655]
  2. The symmetric join operad, with J.D.S.Jones
     [arxiv/1110.2989]
  3. Special cycles in independence complexes and superfrustration in some lattices
     [arxiv/1109.4914]
  4. Splittings of independence complexes and the powers of cycles
     Journal of Combinatorial Theory, Series A 119 (2012), 1031-1047
     [arxiv/1106.6250, journal]
  5. On a lower bound for the connectivity of the independence complex of a graph, with J.A.Barmak
     Discrete Mathematics 311(21): 2566-2569 (2011)
     [journal, pdf]
  6. Clique complexes and Graph powers
     [arxiv/1104.0433]
  7. Spaces of algebraic and continuous maps between real algebraic varieties, with A.Kozłowski, K.Yamaguchi
     Quarterly Journal of Mathematics (2011) 62 (4): 771-790
     [journal, arxiv/0809.4893]
  8. Vertex decompositions of two-dimensional complexes and graphs
     [arxiv/1007.4019]
• Combinatorics, CS and related
  1. Uniqueness of graph square roots of girth six, with A.Adamaszek
     Electronic Journal of Combinatorics 18 (2011), #P139
     [journal, arxiv/0912.2291]
  2. Large-girth roots of graphs, with A.Adamaszek
     SIAM J. Discrete Math. Volume 24, Issue 4, pp. 1501-1514 (2010)
     [journal, arxiv/0909.4011]
     Conference version in Proc. 27th International Symposium on Theoretical Aspects of Computer Science (STACS 2010)
  3. Testing Monotone Continuous Distributions on High-dimensional Real Cubes, with A.Czumaj, C.Sohler
     Property Testing, Current Research and Surveys, 228 - 233, ed. O. Goldreich, LNCS 6390
     [extended abstract]
     Conference version in Proceedings of the 21st ACM-SIAM Symposium on Discrete Algorithms (SODA'10), Austin, Texas, January 17 - 19, 2010. SIAM, Philadelphia, PA, 2010.
  4. Combinatorics of the change-making problem, with A.Adamaszek
     European Journal of Combinatorics, Vol.31 (1), January 2010, p. 47-63
     [journal, arxiv/0801.0120]
• Other
  1. VIPER, a Student-Friendly Interpreter of Pascal, with A.Niewiarowska, P.Chrząstowski-Wachtel
     Informatics Education - Supporting Computational Thinking, Proceedings ISSEP 2008, LNCS 5090, pp. 192-203
     [conference, VIPER]
• Popular and expository
  1. Topology and subsets - the story of a theorem
     Matematyka, Społeczeństwo, Nauczanie 46 (2011)
     [English version]
  2. Picking a random integer
     Newsletter of the European Mathematical Society, December 2006, p. 20-23
     [journal]
  3. 1,2,4,8...
     Matematyka, Społeczeństwo, Nauczanie 41 (2008)
  4. Podziały prostokątów (Rectangle dissections)
     Matematyka, Społeczeństwo, Nauczanie 37 (2006)
  5. A number of popular articles in Delta, The Math.-Phys.-Astro.-Inf. Monthly
• Frozen preprints and unpublished/unpublishable stuff
  1. Maximal Betti number of a flag simplicial complex
     [arxiv/1109.4775]
  2. An elementary guide to the Adams-Novikov Ext
     [pdf]
  3. Efficient enumeration of graceful permutations
     [arXiv/0608513]
• Theses
  1. Spaces of rational maps, M.Sc. in Mathematics, University of Warsaw, 2007
  2. On some properties of graceful graphs, M.Sc. in Computer science, University of Warsaw, 2006

You might have met me at...

• Fourth Sheffield Homotopy Miniconference: Homotopy and Geometry of Loop Spaces, Sheffield, 20-22 January 2012
• WATACBA - Workshop on Algebraic Topology and Combinatorics, Buenos Aires, 7-11 November 2011, slides
• Structured Ring Spectra - TNG, Hamburg, 1-5 August 2011
• The Kervaire invariant and stable homotopy theory, Edinburgh, 25-29 April 2011
• British Mathemathical Colloquium, Leicester, 18-21 April 2011, see the POSTER
• DIMAP Workshop on Combinatorics and Graph Theory, Warwick, 4-7 April 2011, slides
• Hot topics: Kervaire invariant, workshop at MSRI, Berkeley, 25-29 October 2010
• 25th British Topology Meeting, Oxford, 6-8 September 2010
• Postgraduate Combinatorial Conference, 7-9 July 2010, London, slides
• STACS 2010, 4-6 March 2010, Nancy, France
• ACM-SIAM Symposium on Discrete Algorithms SODA 2010 17-19 January 2010, Austin, Texas, slides
• Copenhagen Topology Conference 2010, 8-10 January 2010, Copenhagen
• 24th British Topology Meeting, Leicester, 14-15 September 2009
• 22nd British Combinatorial Conference, St.Andrews, 5-10 July 2009
• Thematic school and conference OPERADS 2009, CIRM, Luminy (Marseille), 20-30 April 2009
• 61st British Mathemathical Colloquium, Galway, Ireland, 6-9 April 2009
• The Transpennine Topology Triangle, 71st, 72nd, 73rd, 75th, 78th, 79th
• The Schools Szkoła Matematyki Poglądowej, an event propagating mathematics and mathematical culture, 35th (2005), 36th (2006), 40th (2008), 41st (2008), 43rd (2009), 45th (2010), 46th (2011)

Brief CV (longer CV)

• 2008-, PhD student at Warwick
• 2007-2008, editor of the informatics section in the Math.-Phys.-Astro.-Inf. monthly Delta
• 2005-2008, teaching assistant at the University of Warsaw
• 2007, M.Sc. in Mathematics
• 2006, M.Sc. in Computer Science
• 2001-2007, Joint Mathematics and Computer Science Course at the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw
• 1997-2001, Liceum nr 5 in Bielsko Biała

Teaching

• Discrete Mathematics and its Applications II (2011/12, Term 2)
• Discrete Mathematics and its Applications I (2011/12, Term 1)

• Analysis III (2010/11, Term 1)
• Discrete Mathematics and its Applications I (2010/11, Term 1)
• Discrete Mathematics and its Applications II (2009/10, 2008/09, Term 2)
• Discrete Mathematics and its Applications I (2009/10, 2008/09, Term 1)
• Even older

Other websites

• My site at the University of Warsaw
• Photos @ Warwick