M. Kreuzer vs P. Wolff, 1985
Martin Kreuzer

M. Kreuzer vs P. Wolff, 1985

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This is a another blog post co-written with Geoff Goodson.

Mini-bio of Martin Kreuzer:

Martin Kreuzer (born July 15, 1962) doctoral advisor was Prof. Ernst Kunz (Regensburg) who was a very strong chess player in his youth in the 1950s. For example, Kunz played for Heidelberg in the chess Bundesliga and in the final of the last "all-German" junior championship (before the GDR closed that down). As a young high school student, Kreuzer played against Kunz in the local league and lost. “That's when I decided to study Algebra with him,” Martin says [1].

After earning his mathematics PhD in 1989 with Kunz, Kreuzer spent two years as an adjunct lecturer at Queen's University (Kingston, Canada). Kreuzer was University assistant at Regensburg University 1991-2000 and got his habilitation in Mathematics in 1997. From 2000-2001 Kreuzer was a substitute professor at the Chair of Algebraic Geometry in Bayreuth, then from 2002-2007 he was the substitute professor at the Chair of Algebra in Dortmund. Since 2007 he is a full professor and holds the Chair of Symbolic Computation at the University of Passau.

In chess, Kreuzer played some international tournaments in the 1990s and got the FM title around 1994 or 1995. But mostly, he concentrated on correspondence chess. Kreuzer became an international correspondence chess GM in 1993. Starting from 1992, he has been playing for the German national team at several Correspondence Chess Olympiads, garnering 3 gold and 2 silver medals over a 30 year period. His CC ELO rating has been above 2600 all this time. 

Now he has started to create online chess courses at "Chessable". The first course is called "Mighty Is Geometry". The second course (called "DON'T PANIC - A Chessmaster's Guide to Calculation") will appear soon. Over the board, he plays for two teams (Schachklub Kelheim in Bavaria, Genova Centurini in Italy) and very occasionally in open tournaments.


Mini-bio of Patrick Wolff: 

Patrick Gideon Wolff (born February 15, 1968) is an American chess Grandmaster. He is the son of philosopher Robert Paul Wolff and brother of law professor Tobias Barrington Wolff. Wolff won the United States Chess Championship in 1992 and 1995. Wolff also had a distinguished scholastic chess career, winning the 1983 National High School Championship and the 1987 U.S. Junior Championship.

Wolff started at Yale but transferred and graduated from Harvard in Philosophy (1996). He competed regularly in the Harvard Yale Match, which is now named after him. 

He was managing director of the $3B global macro hedge fund Clarium but now heads Grandmaster Capital Management, another hedge fund.

Chess advisor Kasparov chose the game Wolff vs Ivanchuk (1993) for the final game in the Queen's Gambit series on Netflix (2020). The actual game was a draw, but Kasparov realized there was a winning strategy and modified the game for the climax.


References
[1] Private communication from Martin Kreuzer, April 2023. (In particular, we thank Martin for the interesting game included below.)
[2] Wikipedia article for Patrick Wolff.

The following game was played in round 3 of the Harvard Open at Harvard University, on March 3, 1985. They played the Byrne variation of the Pirc Defense.

[White "Kreuzer, Martin"]
[Black "Wolff, Patrick"]
[Result "1-0"]
[BlackElo "2443"]
[ECO "B07"]
[WhiteElo "2271"]

  1. e4 d6 2. d4 Nf6 3. Nc3 g6 4. Bg5 Bg7 5. Qd2 h6 6. Bf4 g5 7. Bg3 Nh5 8. O-O-O c6 9. Bc4 b5 10. Bb3 a5 11. a4 b4 12. Nce2 Nd7 13. f4 

Better is h4. Before there White knight was on e2, h4 was a risk because Nxg3 would force the recapture with the f-pawn, weakening White’s pawn structure. Now, however, this is not a worry.

13 … Ndf6 14. e5 Ne4 15. Qe3 d5 

Now, White can’t take the g5 pawn: 16 fx65 hxg5 17 Qxg5? Because of … h5, threatening the White queen and activating the Black bishop. However, 16 Nh3, which does threaten the g5 pawn, is worth consideration.

  1. Be1 Bg4 

Better is … Nxf4, which wins the pawn: if 17 Nxf4 gxf4 18 Qxf4? h5 is still strong.

  1. g3 Bf5 18. h3 g4 

Better is … gxf4.

  1. hxg4 Bxg4 20. Nf3 

Other moves that look better are c4 or Rh4.

20... Qd7 21. Rg1 Bf8 22. Nh2 Ng7 23. Nxg4 Qxg4 24. Qd3 e6

  1. c4 Be7 

Now, White should play Kb1 or Rh1, instead of this risky capture.

  1. cxd5 exd5 

Black missed 26... cxd5, leaving White’s king on an open file, vulnerable to attack.

  1. Kb1 O-O 28. Rc1 Rac8 29. Rh1 Qg6 30. Bc2 f5 31. Qa6 Qe6 
  2. Bb3 Kh7 33. Rh2 Rfd8 34. Qxa5 Ra8 35. Qb6 Rdc8 

Black needs to drive White’s queen away, but his c6 pawn is threatened, so can’t play Rab8 or Rdb8.

  1. Qb7 h5 

Now … Rab8 deserves consideration.

  1. Ng1 

A mistake, allowing Black to play … Nc3+!, evening up the position.  Better is 37. g4.

37... Kg8


Another mistake, as Black missed that move. Now White has a winning position.

  1. Rxc6 Rxc6 39. Qxa8+ Kh7 40. Rc2 Rxc2 41. Kxc2 Qg6 
  2. Qxd5 Qg4 43. Qg8+ Kh6 44. Bf7 b3+ 45. Kc1 Ng5 
  3. Qh8+ Nh7 47. Bg8 1-0

Mathematicians who play(ed) chess

This post is copied from my earlier post here.

 

  • Conel Hugh O’Donel Alexander (1909-1974), late British chess champion. Alexander may not have had a PhD in mathematics but taught mathematics and he did mathematical work during WWII (code and cryptography), as did the famous Soviet chess player David Bronstein (see the book Kahn, Kahn on codes). He was the strongest English player after WWII, until Jonathan Penrose appeared.
  • Adolf Anderssen (1818-1879). Pre World Championships but is regarded as the strongest player in the world between 1859 and 1866. He received a degree (probably not a PhD) in mathematics from Breslau University and taught mathematics at the Friedrichs gymnasium from 1847 to 1879. He was promoted to Professor in 1865 and was given an honorary doctorate by Breslau (for his accomplishments in chess) in 1865.
  • Magdy Amin Assem (195?-1996) specialized in p-adic representation theory and harmonic analysis on p-adic reductive groups. He published several important papers before a ruptured aneurysm tragically took his life. He was IM strength (rated 2379) in 1996.
  • Gedeon Barcza (1911-1986), pronounced bartsa, was a Hungarian professor of mathematics and a chess grandmaster. The opening 1.Nf3 d5 2.g3 is called the Barcza System. The opening 1.e4 e6 2.d4 c5 is known as the Barcza-Larsen Defense.
  • Ludwig Erdmann Bledow (1795-1846) was a German professor of mathematics (PhD). He founded the first German chess association, Berliner Schachgesellschaft, in 1827. He was the first person to suggest an international chess tournament (in a letter to von der Lasa in 1843). His chess rating is not known but he did at one point win a match against Adolf Anderssen.
  • Robert Coveyou (1915 – 1996) completed an M.S. degree in Mathematics, and joined the Oak Ridge National Laboratory as a research mathematician. He became a recognized expert in pseudo-random number generators. He is known for the quotation “The generation of random numbers is too important to be left to chance,” which is based on a title of a paper he wrote. An excellent tournament chess player, he was Tennessee State Champion eight times.
  • Nathan Divinsky (1925-2012) earned a PhD in Mathematics in 1950 from the University of Chicago and was a mathematics professor at the University of British Columbia in Vancouver. He tied for first place in the 1959 Manitoba Open.
  • Noam Elkies (1966-), a Professor of Mathematics at Harvard University specializing in number theory, is a study composer and problem solver (ex-world champion). Prof. Elkies, at age 26, became the youngest scholar ever to have attained a tenured professorship at Harvard. One of his endgame studies is mentioned, for example, in the book Technique for the tournament player, by GM Yusupov and IM Dvoretsky, Henry Holt, 1995. He wrote 11 very interesting columns on Endgame Exporations (posted by permission).
    Some other retrograde chess constructions of his may be found at the interesting Dead Reckoning web site of Andrew Buchanan.
    See also Professor Elkies’s very interesting Chess and Mathematics Seminar pages.
  • Thomas Ernst earned a Ph.D. in mathematics from Uppsala Univ. in 2002 and does research in algebraic combinatorics with applications to mathematical physics. His chess rating is about 2400 (FIDE).
  • Machgielis (Max) Euwe (1901-1981), World Chess Champion from 1935-1937, President of FIDE (Fédération Internationale des Echecs) from 1970 to 1978, and arbitrator over the turbulent Fischer – Spassky World Championship match in Reykjavik, Iceland in 1972. I don’t know as many details of his mathematical career as I’d like. One source gives: PhD (or actually its Dutch equivalent) in Mathematics from Amsterdam University in 1926. Another gives: Doctorate in philosophy in 1923 and taught as a career. Published a paper on the mathematics of chess “Mengentheoretische Betrachtungen uber das Schachspiel”.
  • Ed Formanek (194?-), International Master. Ph.D. Rice University 1970. Retired from the mathematics faculty at Penn State Univ. Worked primarily in matrix theory and representation theory.
  • Stephen L. Jones is an attorney in LA, but when younger, taught math in the UMass system and spent a term as a member of the Institute for Advanced Study in Princeton NJ. He is one rung below the level of International Master at over the board chess; in correspondence chess, he has earned two of the three norms needed to become a Grandmaster.
  • Charles Kalme (1939-2002), earned his master title in chess at 15, was US Junior champ in 1954, 1955, US Intercollegiate champ in 1957, and drew in his game against Bobby Fischer in the 1960 US championship. In 1960, he also was selected to be on the First Team All-Ivy Men’s Soccer team, as well as the US Student Olympiad chess team. (Incidently, it is reported that this team, which included William Lombary on board one, did so well against the Soviets in their match that Boris Spassky, board one on the Soviet team, was denied forieng travel for two years as punishment.) In 1961 graduated 1st in his class at the Moore School of Electrical Engineering, The University of Pennsylvania, in Philadelphia. He also received the Cane award (a leadership award) that year. After getting his PhD from NYU (advisor Lipman Bers) in 1967 he to UC Berkeley for 2 years then to USC for 4-5 years. He published 2 papers in mathematics in this period, “A note on the connectivity of components of Kleinian groups”, Trans. Amer. Math. Soc. 137 1969 301–307, and “Remarks on a paper by Lipman Bers”, Ann. of Math. (2) 91 1970 601–606. He also translated Siegel and Moser, Lectures on celestial mechanics, Springer-Verlag, New York, 1971, from the German original. He was important in the early stages of computer chess programming. In fact, his picture and annotations of a game were featured in the article “An advice-taking chess computer” which appeared in the June 1973 issue of Scientific American. He was an associate editor at Math Reviews from 1975-1977 and then worked in the computer industry. Later in his life he worked on trying to bring computers to elementary schools in his native Latvia A National Strategy for Bringing Computer Literacy to Latvian Schools. His highest chess rating was acheived later in his life during a “chess comeback”: 2458.
  • Miroslav Katetov (1918 -1995) earned his PhD from Charles Univ in 1939. Katetov was IM chess player (earned in 1951) and published about 70 research papers, mostly from topology and functional analysis.
  • Martin Kreuzer (1962-), CC Grandmaster, is rated over 2600 in correspondence chess (ICCF, as of Jan 2000). His OTB rating is over 2300. His specialty is computational commutative algebra and applications. Here is a recent game of his:
    Kreuzer, M – Stickler, A
  • Emanuel Lasker (1868-1941), World Chess Champion from 1894-1921, PhD (or more precisely its German equivalent) in Mathematics from Erlangen Univ in 1902. Author of the influential paper “Zur theorie der moduln und ideale,” Math. Ann. 60(1905)20-116, where the well-known Lasker-Noether Primary Ideal Decomposition Theorem in Commutative Algebra was proven (it can be downloaded for free here). Lasker wrote and published numerous books and papers on mathematics, chess (and other games), and philosophy.
  • Vania Mascioni, former IECG Chairperson (IECG is the Internet Email Chess Group), is rated 2326 by IECG (as of 4-99). His area is Functional Analysis and Operator Theory.
  • A. Jonathan Mestel, grandmaster in over-the-board play and in chess problem solving, is an applied mathematician specializing in fluid mechanics and is the author of numerous research papers. He is on the mathematics faculty of the Imperial College in London.
  • Walter D. Morris (196?-), International Master. Currently on the mathematics faculty at George Mason Univ in Virginia.
  • Karsten Müller earned the Grandmaster title in 1998 and a PhD in mathematics in 2002 at the University of Hamburg.
  • John Nunn (1955-), Chess Grandmaster, D. Phil. (from Oxford Univ.) in 1978 at the age of 23. His PhD thesis is in algebraic topology. Nunn is also a GM chess problem solver.
  • Hans-Peter Rehm (1942-), earned his PhD in Mathematics from Karlsruhe Univ. (1970) then taught there for many years. He is a grandmaster of chess composition. He has written several papers in mathematics, such as “Prime factorization of integral Cayley octaves”, Ann. Fac. Sci. Toulouse Math (1993), but most in differential algebra, his specialty. A collection of his problems has been published as: Hans+Peter+Rehm=Schach Ausgewählte Schachkompositionen & Aufsätze (= selected chess problems and articles), Aachen 1994.
  • Kenneth W. Regan, Professor of Computer Science at the State Univ. of New York Buffalo, is currently rated 2453. His research is in computational complexity, a field of computer science which has a significant mathematical component.
  • Jakob Rosanes obtained his mathematics doctorate from the Univ. of Breslau in 1865 where he taught for the rest of his life. In the 1860s he played a match against A. Anderssen which ended with 3 wins, 3 losses, and 1 draw.
  • Jan Rusinek (1950-) obtained his mathematics PhD in 1978 and earned a Grandmaster of Chess Composition in 1992.
  • Jon Speelman (1956-) is an English Grandmaster chess player and chess writer. He earned his PhD in mathematics from Oxford.