University COVID-19 update

The University of Waterloo is constantly updating our most Frequently Asked Questions.

Questions about buildings and services? Visit the list of Modified Services.

Please note: The University of Waterloo is closed for all events until further notice.

Stephen Melczer's book on Analytic Combinatorics has been published

Friday, May 21, 2021

"An Invitation to Analytic Combinatorics: From One to Several Variables", written by C&O professor Stephen Melczer, has been published by Springer.

Melczer book"This book uses new mathematical tools to examine broad computability and complexity questions in enumerative combinatorics, with applications to other areas of mathematics, theoretical computer science, and physics. A focus on effective algorithms leads to the development of computer algebra software of use to researchers in these domains.

After a survey of current results and open problems on decidability in enumerative combinatorics, the text shows how the cutting edge of this research is the new domain of Analytic Combinatorics in Several Variables (ACSV). The remaining chapters of the text alternate between a pedagogical development of the theory, applications (including the resolution by this author of conjectures in lattice path enumeration which resisted several other approaches), and the development of algorithms. The final chapters in the text show, through examples and general theory, how results from stratified Morse theory can help refine some of these computability questions.

Complementing the written presentation are over 50 worksheets for the SageMath and Maple computer algebra systems working through examples in the text."

Stephen MelczerStephen Melczer is an assistant professor in the C&O department. His research is focused on leveraging computational algebraic geometry, analysis, and topology to create effective tools for combinatorics, computer science, and mathematics.

  1. 2021 (11)
    1. June (1)
    2. May (4)
    3. April (3)
    4. February (1)
    5. January (2)
  2. 2020 (20)
    1. November (2)
    2. October (5)
    3. September (3)
    4. August (1)
    5. July (2)
    6. June (5)
    7. April (2)
  3. 2019 (30)
    1. December (1)
    2. November (2)
    3. October (3)
    4. September (3)
    5. July (2)
    6. June (6)
    7. May (3)
    8. April (4)
    9. March (3)
    10. January (3)
  4. 2018 (21)
  5. 2017 (16)
  6. 2016 (22)
  7. 2015 (26)
  8. 2014 (25)
  9. 2013 (13)
  10. 2012 (12)
  11. 2011 (9)
  12. 2010 (5)
  13. 2009 (5)
  14. 2008 (2)
  15. 2007 (1)
  16. 2006 (4)
  17. 2005 (6)
  18. 2003 (1)
  19. 2002 (2)
  20. 2001 (2)