# Michel Van den Bergh

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**Michel Van den Bergh**,

a Belgian mathematician, Ph.D. in 1985 and Habilitation (Hoger Aggregaat) in 1990 from University of Antwerp, and director of research at the Fund for Scientific Research, also affiliated with the University of Hasselt, Diepenbeek, and the Free University of Brussels. He was visiting researcher and professor at MIT in Cambridge, Massachusetts, the Louis Pasteur University in Strasbourg, the Mathematical Sciences Research Institute in Berkeley, California, and the Mittag Leffler Institute in Stockholm ^{[2]}. His research interests include algebraic topology and algebraic geometry, in particular noncommutative algebraic geometry.

## Contents

# Computer Chess

Michel Van den Bergh's professional interests in mathematics is supplemented by chess and computer chess programming. He worked on Toga II Posix ports, on icsdrone, an interface between an ICS (Internet Chess Server) and a chess engine supporting the Chess Engine Communication Protocol, and made an attempt to transform GNU Chess into a modern Chess Engine Communication Protocol compliant engine. He is in the process to improve version 5 with various SEE based pruning techniques and optimizations, where SEESign is faster to determine if the SEE value is below some threshold than computing its actual value ^{[3]}, and further applied parameter tuning using Rémi Coulom's CLOP, Confident Local Optimization for Noisy Black-Box Parameter Tuning ^{[4]}. More recently, Michel Van den Bergh is engaged in match statistics and sequential probability ratio test.

# Selected Publications

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## 1980 ...

- Michel Van den Bergh (
**1984**).*A duality theorem for Hopf algebras, Methods in ring theory*. (Antwerp, 1983), NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, Vol. 129, Reidel, Dordrecht^{[6]} - Michel Van den Bergh (
**1987**).*Linearisations of binary and ternary forms*. Journal of Algebra, Vol. 109 - Michel Van den Bergh (
**1989**).*Trace rings of generic matrices are Cohen-Macaulay*. Journal of the American Mathematical Society, Vol. 2, pdf^{[7]}

## 1990 ...

- Michel Van den Bergh (
**1991**).*Cohen-Macaulayness of modules of covariants*. Inventiones Mathematicae, Vol. 106, pdf - Michel Van den Bergh (
**1991**).*Explicit rational forms for the Poincar'e series of the trace rings of generic matrices*. Israel Journal of Mathematics, Vol. 73 - Michel Van den Bergh (
**1993**).*Cohen-Macaulayness of semi-invariants for tori*. Transactions of the American Mathematical Society, Vol. 336 - Michel Van den Bergh (
**1994**).*A converse to Stanley's conjecture for Sl2*. Proceedings of the American Mathematical Society, Vol. 121, pdf^{[8]}

## 2000 ...

- Michel Van den Bergh (
**2002, 2004**).*Non-commutative crepant resolutions*. The Legacy of Niels Hendrik Abel, Springer^{[9]} - Michel Van den Bergh (
**2004**).*Three-dimensional flops and noncommutative rings*. Duke Mathematical Journal, Vol. 122 - Michel Van den Bergh (
**2004**).*A remark on a theorem by Deligne*. Proceedings of the American Mathematical Society, Vol. 132^{[10]} - Michel Van den Bergh (
**2005**).*On the ZD∞ category*. Proceedings of the 37th Symposium on Ring Theory and Representation Theory, Osaka, pdf - Michel Van den Bergh (
**2007**).*On global deformation quantization in the algebraic case*. Journal of Algebra, Vol. 315, pdf - Michel Van den Bergh (
**2008**).*Double Poisson algebras*. Transactions of the American Mathematical Society, Vol.360, pdf^{[11]} - Michel Van den Bergh (
**2009**).*The Kontsevich weight of a wheel with spokes pointing outward*. Algebras and Representation Theory, Vol. 12^{[12]}

## 2010 ...

- Michel Van den Bergh (
**2010**).*Notes on formal deformations of abelian categories*. arXiv:1002.0259 - Michel Van den Bergh (
**2011**).*Noncommutative quadrics*. International Mathematics Research Notices IMRN^{[13]} - Michel Van den Bergh (
**2013**).*On Involutivity of p-Support*. arXiv:1309.6677^{[14]}^{[15]} - Michel Van den Bergh (
**2014**).*Calabi-Yau algebras and superpotentials*. arXiv:1008.0599v3^{[16]} - Špela Špenko, Michel Van den Bergh (
**2015**).*Non-commutative resolutions of quotient singularities*. arXiv:1502.05240 - Špela Špenko, Michel Van den Bergh (
**2015**).*Comparing the commutative and non-commutative resolutions for determinantal varieties of skew symmetric and symmetric matrices*. arXiv:1511.07290 - Špela Špenko, Michel Van den Bergh (
**2016**).*Semi-orthogonal decompositions of GIT quotient stacks*. arXiv:1603.02858 - Špela Špenko, Michel Van den Bergh (
**2017**).*Non-commutative crepant resolutions for some toric singularities I*. arXiv:1701.05255^{[17]} - Špela Špenko, Michel Van den Bergh (
**2017**).*Non-commutative crepant resolutions for some toric singularities II*. arXiv:1707.08245 - Michel Van den Bergh (
**2017**).*A Practical Introduction to the GSPRT*. pdf » SPRT^{[18]} - Špela Špenko, Michel Van den Bergh (
**2019**).*A class of perverse schobers in Geometric Invariant Theory*. arXiv:1908.04213^{[19]} - Michel Van den Bergh (
**2019**).*The Generalized Maximum Likelihood Ratio for the Expectation Value of a Distribution*. pdf

# Forum Posts

## 2008 ...

- Linux port of newer versions of TogaII by Michel Van den Bergh, CCC, October 01, 2008
- Re: Derivatives are real programs too by Michel Van den Bergh, CCC, November 06, 2008
- Polyglot now supports the UCI protocol:-) by Michel Van den Bergh, CCC, December 22, 2008 » PolyGlot, UCI
- Can someone explain this? by Michel Van den Bergh, CCC, October 07, 2009 » Toga, History Leaf Pruning
- Info from timeout search by Michel Van den Bergh, CCC, October 26, 2009
- Robbobases by Michel Van den Bergh, CCC, November 14, 2009

## 2010 ...

- Confused by futility pruning by Michel Van den Bergh, CCC, March 03, 2010 » Futility Pruning
- protocol specs by Michel Van den Bergh, CCC, March 11, 2010 » XBoard
- GNUChess for Android by Michel Van den Bergh, CCC, December 24, 2010

**2011**

- icsdroneng 0.23 released by Michel Van den Bergh, CCC, June 10, 2011
- gnuchess 5.07.173b by Michel Van den Bergh, CCC, September 19, 2011
- Question on parallel search by Michel Van den Bergh, CCC, December 27, 2011 » Parallel Search

**2012**

- icsdroneng 0.25 released by Michel Van den Bergh, CCC, January 20, 2012
- Thinking output ordering and failing low by Michel Van den Bergh, CCC, March 18, 2012
- icsdrone by Michel Van den Bergh, CCC, July 30, 2012
- Sjeng 11.2 and suicide chess by Michel Van den Bergh, CCC, September 03, 2012 » Sjeng
- GnuChess 5.07.174.1b by Michel Van den Bergh, CCC, October 20, 2012

**2013**

- GNU Chess 5.50 by Michel Van den Bergh, CCC, April 16, 2013
- 1 draw=1 win + 1 loss (always!) by Michel Van den Bergh, CCC, September 19, 2013

**2014**

- Two fold repetition rule by Michel Van den Bergh, CCC, January 22, 2014 » Repetitions

## 2015 ...

- Script for computing SPRT probabilities by Michel Van den Bergh, CCC, April 05, 2015 » SPRT
- The SPRT without draw model, elo model or whatever... by Michel Van den Bergh, CCC, September 01, 2015

- Re: The SPRT without draw model, elo model or whatever.. by Michel Van den Bergh, CCC, August 18, 2016 » SPRT Python code
^{[20]}

- Elo measurement of contempt in SF in self-play by Michel Van den Bergh, CCC, March 10, 2018 » Contempt, Playing Strength, Stockfish
- Fixed nodes games and the pentanomial model by Michel Van den Bergh, CCC, December 29, 2018

## 2020 ...

- Re: Stockfish Reverts 5 Recent Patches by Michel Van den Bergh, CCC, February 02, 2020

# External Links

## General

- Homepage of Michel Van den Bergh
- Publications of Michel Van den Bergh
- Michel Van den Bergh from Wikipedia
- The Mathematics Genealogy Project - Michel Van den Bergh
- Michel Van den Bergh - Google Scholar Citations
- Details for Michel Van den Bergh, Oberwolfach Photo Collection

## Computer Chess

- Some chess stuff by Michel Van den Bergh
- vdbergh · GitHub
- GitHub - vdbergh/pentanomial: SPRT for pentanomial frequencies and simulation tools
- GitHub - vdbergh/simul: A multi-threaded pentanomial simulator

# References

- ↑ Michel Van den Bergh, Oberwolfach 2010, source, Image by Renate Schmid, Michel Van den Bergh from Wikipedia.de (German)
- ↑ CV Michel Van den Bergh (pdf)
- ↑ Re: GNU Chess 5.07.175b released by Michel Van den Bergh, CCC, April 14, 2013
- ↑ GNU Chess 5.07.175b released by Michel Van den Bergh, CCC, April 13, 2013
- ↑ Publications of Michel Van den Bergh
- ↑ Hopf algebra from Wikipedia
- ↑ Cohen–Macaulay ring from Wikipedia
- ↑ Stanley–Wilf conjecture from Wikipedia
- ↑ Niels Henrik Abel from Wikipedia
- ↑ Pierre Deligne from Wikipedia
- ↑ Poisson algebra from Wikipedia
- ↑ Kontsevich quantization formula from Wikipedia
- ↑ Quadric from Wikipedia
- ↑ involutivity - Wiktionary
- ↑ Support (measure theory) from Wikipedia
- ↑ Calabi–Yau algebra from Wikipedia
- ↑ Crepant resolution from Wikipedia
- ↑ Xiaoou Li, Jingchen Liu, Zhiliang Ying (
**2014**).*Generalized Sequential Probability Ratio Test for Separate Families of Hypotheses*. Sequential Analysis, Vol. 33, No. 4, pdf - ↑ Perverse sheaf from Wikipedia
- ↑ GSPRT approximation (pdf) by Michel Van den Bergh