Dorje C. Brody Explained

Dorje C. Brody
Birth Place:Hong Kong
Nationality:British
Fields:Mathematical Physics
Financial Mathematics
Alma Mater:Niigata University (BSc) Imperial College London (PhD)
Doctoral Advisor:Ray Rivers
Known For:PT Symmetry Hilbert–Pólya conjecture Geometric quantum mechanics Information-based asset pricing theory

Dorje C. Brody (born 1970 in Hong Kong) is a British applied mathematician and mathematical physicist.

Career

Dorje C. Brody was born in Hong Kong, but lived in Japan for a number of years. He received his BSc in physics at Niigata University and earned an MSc and PhD degrees in theoretical physics from Imperial.

Brody held a PPARC (Particle Physics and Astronomy Research Council) research fellowship in the Department of Applied Mathematics and Theoretical Physics in Cambridge University, in conjunction with a Research Fellowship at Churchill College. In 1999 he returned to Imperial College as a Royal Society University Research Fellow. In 2004 Brody was invited to the Imperial Palace in Tokyo as an Outstanding Young Person to meet the Emperor of Japan.[1] Brody has been a full professor since 2011 and since 2018 he has held a Chair in Mathematics at the University of Surrey in the UK.[2]

Brody's research covers a broad range of topics in applied mathematics and theoretical physics. During the early part of his career he focused on statistical mechanics, which led naturally to stochastic processes and financial mathematics in one direction and to thermodynamics and quantum mechanics in another. Brody's work has covered information geometry[3] and geometric quantum theory[4] as well as foundational issues in quantum theory, quantum statistical mechanics[5] [6] and quantum cosmology[7] in theoretical physics; and using concepts of information geometry, nonlinear filtering and information asymmetry[8] [9] [10] in financial mathematics. He is a member of the editorial boards of , International Journal of Theoretical and Applied Finance and Information Geometry.[11] [12]

Brody has published more than 100 papers[13] [14] with his most recognisable contributions being in the complex extension of quantum mechanics known as PT-symmetric quantum mechanics,[15] and in the introduction of information-based asset pricing theory.[16] Recently, his work (with Carl M. Bender and Markus Müller) on the Hilbert–Pólya conjecture received significant attention.[17] [18] [19] [20] [21] [22] While Bellissard gave arguments suggesting that the strategy proposed does not work,[23] his arguments were rebutted[24] and a subsequent paper by Brody and Bender proved formally that their original claims were correct.[25]

Dorje C. Brody has held long-term collaborations with Carl M. Bender, Gary W. Gibbons and Lane P. Hughston.

Notes and References

  1. Web site: The Outstanding Young Persons Report 2015. Junior Chamber International Osaka (Japan).
  2. Web site: Dorje C Brody University of Surrey. www.surrey.ac.uk. en. 2018-05-26.
  3. Brody. Dorje C. Hook. Daniel W. Information geometry in vapour–liquid equilibrium. Journal of Physics A: Mathematical and Theoretical. 42. 2. 023001. 10.1088/1751-8113/42/2/023001. 2009. 0809.1166. 2009JPhA...42b3001B. 118311636.
  4. Brody. Dorje C.. Hughston. Lane P.. Geometric quantum mechanics. Journal of Geometry and Physics. 38. 1. 19–53. 10.1016/s0393-0440(00)00052-8. 2001. quant-ph/9906086. 2001JGP....38...19B. 17580350.
  5. Bender. Carl M.. Brody. Dorje C.. Meister. Bernhard K.. 2000. Quantum mechanical Carnot engine. Journal of Physics A: Mathematical and General. 33. 24. 4427. 10.1088/0305-4470/33/24/302. 0305-4470. quant-ph/0007002. 2000JPhA...33.4427B. 5335.
  6. Brody. Dorje C. Hughston. Lane P. 2016. Thermodynamics of quantum heat bath. Journal of Physics A: Mathematical and Theoretical. 49. 42. 425302. 10.1088/1751-8113/49/42/425302. 1751-8113. 1406.5780. 2016JPhA...49.5302B. 53380629.
  7. Brody. Dorje C.. Hughston. Lane P.. 2005. Theory of quantum space-time. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 461. 2061. 2679–2699. 10.1098/rspa.2005.1457. 1364-5021. gr-qc/0406121. 2005RSPSA.461.2679B. 10.1.1.338.5546. 18502302.
  8. Brody. Dorje C.. Meister. Bernhard K.. Parry. Matthew F.. 2012. Informational inefficiency in financial markets. Mathematics and Financial Economics. en. 6. 3. 249–259. 10.1007/s11579-012-0078-1. 154143369. 1862-9679.
  9. Brody. Dorje C.. Friedman. Robyn L.. Information of Interest. Risk Magazine . December 2009. 105–110. 0905.0072. 2009arXiv0905.0072B.
  10. Brody. Dorje C.. Hughston. Lane P.. 2001. Interest rates and information geometry. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 457. 2010. 1343–1363. 10.1098/rspa.2000.0722. 1364-5021. 1111.3757. 2001RSPSA.457.1343B. 123528394.
  11. Web site: Home - Professor Dorje Brody. www.imperial.ac.uk. 2018-01-20.
  12. Web site: Information Geometry (Editorial Board). springer.com. en. 2018-09-16.
  13. Web site: Dorje Brody (0000-0002-9242-9554) - ORCID. ORCID. orcid.org. 2018-01-20.
  14. Web site: Researcher (beta): Dorje C Brody in Publications - Dimensions. app.dimensions.ai. 2018-01-20.
  15. Bender. Carl M.. Brody. Dorje C.. Jones. Hugh F.. 2002. Complex Extension of Quantum Mechanics. Physical Review Letters. 89. 27. 270401. 10.1103/PhysRevLett.89.270401. 12513185. quant-ph/0208076. 2002PhRvL..89A0401B. 11004734.
  16. Book: Financial Informatics: An Information-Based Approach to Asset Pricing. Brody. Dorje C.. Hughston. Lane P.. Macrina. Andrea. 2022. World Scientific. 9789811246487.
  17. Web site: Altmetric – Hamiltonian for the Zeros of the Riemann Zeta Function. www.altmetric.com. 2018-01-20.
  18. Math's $1,000,000 Question Isn't Just for Mathematicians Anymore. WIRED. 2018-01-20.
  19. News: Primzahlen: Kommt der Beweis der Riemann-Hypothese aus der Physik?. 2018-01-20. de.
  20. News: New insight into proving math's million-dollar problem: the Riemann hypothesis (Update). 2018-01-20.
  21. News: Quantum Physicists Attack the Riemann Hypothesis. Quanta Magazine. 2018-01-20.
  22. News: A New Approach To The Riemann Hypothesis Could Be Worth $1,000,000. Knudson. Kevin. Forbes. 2018-05-26. en.
  23. 1704.02644. Bellissard. Jean V.. Comment on "Hamiltonian for the Zeros of the Riemann Zeta Function". 2017. quant-ph.
  24. Bender. Carl M.. Brody. Dorje C.. Müller. Markus P.. 2017-05-18. Comment on 'Comment on "Hamiltonian for the zeros of the Riemann zeta function" '. quant-ph. 1705.06767.
  25. Bender. Carl M. Brody. Dorje C. 2018-04-03. Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian. Journal of Physics A: Mathematical and Theoretical. 51. 13. 135203. 10.1088/1751-8121/aab068. 1751-8113. 1710.04411. 2018JPhA...51m5203B. 56086197.

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