Academic Curriculum Vitae


Sergei Winitzki, Ph.D.

Senior Developer
Versal Group Inc.
Townsend St.
San Francisco, USA

Email: winitzki "at"

Publications  (Google Scholar profile)
Miscellaneous lecture notes



    Graduate 1992-1997 Ph.D., Tufts University (Medford, Mass., USA)
    Adviser: Alexander Vilenkin
    Undergraduate 1988-1992 equivalent of B.S., Moscow Institute of Physics and Technology (Dolgoprudny, Russia)



     04.2013-presentSenior developer Versal Group Inc.
    Senior developer  
    NEXT Munich. The App Agency
    Senior fellow
    (C1 akad. Oberrat)
    Ludwig-Maximilians University (Munich, Germany)
    10.2007-02.2008 Visiting Professor
    University of Heidelberg (Heideberg, Germany)
    09.2002-09.2007 Research Associate
    (C1 Wiss. Assistent)
    Ludwig-Maximilians University (Munich, Germany)
    2001-2002 Research Associate Tufts University (Medford, Mass., USA)
    1999-2001 Research Associate CWRU (Cleveland, Ohio, USA)
    1997-1999 Research Associate DAMTP, University of Cambridge (Cambridge, UK)




  1. S. Winitzki (2010) "Linear Algebra via Exterior Products" (published by, ISBN 978-1-4092-9496-2)
  2. S. Winitzki (2009) "Eternal Inflation" (published by World Scientific, ISBN 981-283239-4)
  3. V. F. Mukhanov and S. Winitzki (2007) "Introduction to Quantum Effects in Gravity" (published by Cambridge University Press. ISBN 978-0-521-86834-1)


  1. L. A. Gergely, N. Pidokrajt, and S. Winitzki (2008) "Thermodynamics of tidal charged black holes".The European Physical Journal C 71, 1569. Preprint arXiv:0811.1548 [gr-qc].
  2. A. Linde, V. Vanchurin, and S. Winitzki (2008) "Stationary measure in the multiverse". JCAP 0901:031, 2009. Preprint arXiv:0812.0005.
  3. S. Winitzki (2008) "Reheating-volume measure for the landscape". Phys.Rev. D 78 (2008), 123518. Preprint arXiv:0810.1517 [gr-qc].
  4. S. Winitzki (2008) "Reheating-volume measure for random-walk inflation". Phys.Rev. D 78 (2008), 063517. Preprint arXiv:0805.3940 [gr-qc].
  5. S. Winitzki (2008) "A volume-based measure for eternal inflation". Phys.Rev. D 78 (2008), 043501. Preprint arXiv:0803.1300.
  6. S. Winitzki (2007) "Age-dependent decay in the landscape". Phys.Rev. D 77 (2008), 063508. Preprint arXiv:0712.2192.
  7. J. U. Kang, V. Vanchurin, and S. Winitzki (2007) "Attractor scenarios and superluminal signals in k-essence cosmology". Phys.Rev. D 76 (2007), 083511. Preprint arxiv:0706.3994.
  8. S. Winitzki (2006) "Predictions in eternal inflation". Invited review, Lect. Notes Phys. 738, 157-191 (2008). Preprint gr-qc/0612164.
  9. F. Helmer and S. Winitzki (2006) "Self-reproduction in k-inflation." Phys.Rev. D 74 (2006), 063528. Preprint gr-qc/0608019.
  10. J. Garriga, D. Schwarz-Perlov, A. Vilenkin, and S. Winitzki (2005) "Probabilities in the inflationary multiverse." JCAP01(2006)017. Preprint hep-th/0509184.
  11. S. Winitzki (2005) "Cosmological particle production and the precision of the WKB approximation." Phys. Rev. D 72 (2005) 104011. Preprint gr-qc/0510001. Local copy here.
  12. S. Winitzki (2005) "Time-reparametrization invariance in eternal inflation." Phys. Rev. D 71 (2005) 123507. Preprint gr-qc/0504084.
  13. S. Winitzki (2005) "Conformal diagrams for a fractal landscape." Phys. Rev. D 71 (2005) 123523. Preprint gr-qc/0503061.
  14. S. Winitzki (2004) "The fractal structure of inflationary spacetime." In Exploring the Universe, Proceedings XXXIX Rencontres de Moriond, La Thuile, Italy, March 26 - April 4, 2004, ed. by Y. Giraud-Héraud and J. Trân Thanh Vân. This is a shorter version of a paper in preparation. (Local copy, ps.gz)
  15. J. Hong, A. Vilenkin, and S. Winitzki (2003) "Particle creation in a tunneling universe I. Massless particles." Phys. Rev. D 68 (2003) 023520. Preprint gr-qc/0210034.
  16. J. Hong, A. Vilenkin, and S. Winitzki (2003) "Particle creation in a tunneling universe II. Massive particles." Phys. Rev. D 68 (2003) 023521. Preprint gr-qc/0305025.
  17. S. Winitzki (2003) "Computing the incomplete Gamma function to arbitrary precision." LNCS 2667 (2003) 790 (Springer-Verlag).
  18. S. Winitzki (2003) "Uniform approximations for transcendental functions." LNCS 2667 (2003) 780 (Springer-Verlag).
  19. L. Pogosian, T. Vachaspati, and S. Winitzki (2002) "Signatures of primordial helicity in the CMBR." New Astron. Rev. 47 (2003) 859-862. Preprint astro-ph/0210039.
  20. A. Gangui, L. Pogosian, and S. Winitzki (2002) "Cosmic string signatures in the cosmic microwave background anisotropies." New Astron. Rev. 46 (2002) 681-691. Preprint astro-ph/0112145.
  21. A. Gangui, L. Pogosian, and S. Winitzki (2001) "Computation of the CMB Bispectrum from Cosmic Strings". In Physics at Extreme Energies, Proceedings of the IVth Rencontres du Vietnam, Hanoi, Vietnam, 19-25 July 2000.
  22. L. Pogosian, T. Vachaspati, and S. Winitzki (2001) "Signatures of kinetic and magnetic helicity in the CMBR." Phys. Rev. D 65 (2002) 083502. Preprint astro-ph/0112536.
  23. A. Z. Pinkus and S. Winitzki (2002) "YACAS: A Do-it-yourself Symbolic Algebra Environment." LNCS 2385 (2002), 332 (Springer-Verlag).
  24. S. Winitzki (2001) "Violations of the null energy conditions in eternal inflation." Talk given at COSMO-2001, Rovaniemi, Finland. Preprint gr-qc/0111109.
    Published reference: S. Winitzki, in Proceedings of the International Workshop On Particle Physics And The Early Universe (COSMO-01), Rovaniemi, Finland, 2001, ed. by M. Roos, eConf C01/08/30 (2001). See also a talk by Tanmay Vachaspati at the Davis Inflation Meeting, 2003 (astro-ph/0305439).
  25. S. Winitzki (2001) "The eternal fractal in the universe." Phys. Rev. D 65 (2002) 083506. Preprint gr-qc/0111048.
  26. A. Gangui, L. Pogosian, and S. Winitzki (2001) "Bispectrum of cosmic microwave background from wiggly cosmic strings." Phys. Rev. D 64 (2001) 043001. Preprint astro-ph/0101453.
  27. S. Winitzki and A. Vilenkin (2000), "Effective noise in stochastic description of inflation", Phys. Rev. D 61 (2000) 084008. Preprint gr-qc/9911029.
  28. V. Vanchurin, A. Vilenkin, and S. Winitzki (2000) "Predictability crisis in inflationary cosmology and its resolution." Phys. Rev. D 61 (2000) 083507. Preprint gr-qc/9905097.
  29. S. Winitzki and A. Kosowsky (1998) "Minkowski functional description of microwave background Gaussianity." New Astronomy 3 (1998), 75-99. Preprint astro-ph/9710164.
  30. A. Vilenkin and S. Winitzki (1997) "Probability distribution for Omega in open-universe inflation." Phys. Rev. D 55 (1997) 548-559. Preprint astro-ph/9605191.
  31. S. Winitzki (1997) "Conformal invariance in two-dimensional discrete field theory." Phys. Rev. D 55 (1997) 6374-6381. Preprint hep-th/9609106.
  32. S. Winitzki and A. Vilenkin (1996) "Uncertainties of predictions in models of eternal inflation." Phys. Rev. D 53 (1996) 4298-4310. Preprint gr-qc/9510054.
  33. A. Vilenkin and S. Winitzki (1994) "Detection of particles under potential barrier." Phys. Rev. D 50 (1994) 5409-5417. Preprint hep-th/9404163.

    Submitted but not accepted:

  34. S. Winitzki (2010) "Observability of the total inflationary expansion". Preprint arXiv:1003.1680 [gr-qc].
  35. S. Winitzki (2003) "Arbitrary-precision computation of Chebyshev polynomials." Submitted to ICCSA 2006.
  36. S. Winitzki and J.-H. P. Wu (2000) "Inter-Scale correlations as measures of CMB Gaussianity." Preprint astro-ph/0007213. Submitted to APJ.
  37. S. Winitzki (1998) "Non-Gaussian signature of weak gravitational lensing in the CMB." Preprint astro-ph/9806105. Submitted to PRD.
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Miscellaneous lecture notes

The links here don't work; see the File cabinet for the PDF files of these notes. All this is copyrighted by Sergei Winitzki and is distributed under the Free Documentation License.