Henry Tye (Cornell University), e-mail letter to author, December 19, 2008.
Brian Greene, interview by Ira Flatow, “Big Questions in Cosmology,” Science Friday , NPR, April 3, 2009.
К. C. Cole, “A Theory of Everything,” New York Times Magazine , October 18, 1987.
Nicolai Reshetikhin (University of California, Berkeley), interview with author, June 5, 2008.
Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.
Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 210.
Andrew Strominger (Harvard University), interview with author, August 1, 2007.
S. Ramanujan, “On Certain Arithmetic Functions,” Transactions of the Cambridge Philosophical Society 22 (1916): 159–184.
Lothar Goettsche, “A Conjectural Generating Function for Numbers of Curves on Surfaces,” November II, 1997, arXiv.org, Cornell University archives, http://arxiv.org/PS_cache/alg-geom/pdf/9711/9711012vl.pdf.
Ai-Ko Liu, “Family Blowup Formula, Admissible Graphs and the Enumeration of Singular Curves, I,” Journal of Differential Geometry 56 (2000): 381–579.
Bong Lian (Brandeis University), interview with author, December 12, 2007.
Michael Atiyah, “Pulling the Strings,” Nature 438 (December 22–29, 2005): 1,082.
Glennda Chui, “Wisecracks Fly When Brian Greene and Lawrence Krauss Tangle Over String Theory,” Symmetry 4 (May 2007): 17–21.
Sean Carroll, “String Theory: Not Dead Yet,” Cosmic Variance blog, Discover online magazine, May 24,2007, http://cosmicvariance.com.
Edward Witten, quoted in К. C. Cole, “A Theory of Everything,” New York Times Magazine , October 18, 1987.
Ibid.
Alan Guth (MIT), interview with author, September 13, 2007.
Brian Greene, The Elegant Universe (New York: Vintage Books, 2000), p. 261.
Max Tegmark (MIT), interview with author, October 23, 2007.
Faye Flam, “Getting Comfortable in Four Dimensions,” Science 266 (December 9, 1994): 1, 640.
Cumrun Vafa (Harvard University), interview with author, January 19, 2007.
Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.
David Morrison (University of California, Santa Barbara), interview with author, May 27, 2008.
Allan Adams (MIT), interview with author, May 23, 2008.
Joe Polchinski (University of California, Santa Barbara), interview with author, August 31, 2007.
Edward Witten (Institute for Advanced Study), e-mail letter to author, January 30, 2007.
Adams, interview with author, May 23, 2008.
Turnbull WWW Server, “Quotations by Gauss,” School of Mathematical Sciences, University of St. Andrews, St. Andrews, Fife, Scotland, February 2006, http://wwwgroups.dcs.st-and.ac.uk/-history/Quotations/Gauss.html.
Ibid.
Brian Greene, “String Theory on Calabi-Yau Manifolds,” lectures given at Theoretical Advanced Study Institute, 1996 session (TASI-96), Boulder, June 1996.
К. C. Cole, “Time, Space Obsolete in New View of Universe,” Los Angeles Times , November 16, 1999.
Andrew Strominger (Harvard University), interview with author, August 1, 2007.
Morrison, interview with author, May 29, 2008.
Brian Greene, Elegant Universe (New York: Vintage Books, 2000), pp. 268, 273.
Paul Aspinwall (Duke University), interview with author, June 6, 2008.
Morrison, interview with author, May 27, 2008.
Andrew Strominger (Harvard University), February 7, 2007.
Chris Beasley, Jonathan Heckman, and Cumrun Vafa, “GUTs and Exceptional Branes in F-Theory — I,” November 18, 2008, http://arxiv.org/abs/0802.3391; Chris Beasley, Jonathan Heckman, and Cumrun Vafa, “GUTs and Exceptional Branes in F-Theory — II: Experimental Predictions,” June 12, 2008, http://arxiv.org/abs/arxiv:0806.0102; Ron Donagi and Martijn Wijnholt, “Model Building with F-Theory,” March 3, 2008, http://lanl.arxiv.org/pdf/0802.2969v2; and Ron Donagi and Martijn Wijnholt, “Breaking GUT Groups in F-Theory,” August 17, 2008, http://lanl.arxiv,org/pdf/0808.2223vl.
Strominger, interview with author, July 23, 2007.
Cumrun Vafa (Harvard University), interview with author, November 2, 2007.
Leonard Mlodinow, Euclid's Mirror (New York: Simon & Schuster, 2002), p. 255.
Edward Witten (Institute for Advanced Study), e-mail letter to author, February 12, 2007.
David Morrison (University of California, Santa Barbara), interview with author, May 27, 2008.
Ravi Vakil (Stanford University), interview with author, May 28, 2008.
Strominger, interview with author, August 1, 2007.
Piers Bursill-Hall, “Why Do We Study Geometry? Answers Through the Ages,” lecture, Faulkes Institute for Geometry, University of Cambridge, May 1, 2002.
Donald Zeyl (University of Rhode Island), interview with author, October 18, 2007.