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281

Robbert Dijkgraaf (University of Amsterdam), interview with author, February 8, 2007.

282

David Morrison (University of California, Santa Barbara), interview with author, May 27, 2008.

283

Allan Adams (MIT), interview with author, May 23, 2008.

284

Joe Polchinski (University of California, Santa Barbara), interview with author, August 31, 2007.

285

Edward Witten (Institute for Advanced Study), e-mail letter to author, January 30, 2007.

286

Adams, interview with author, May 23, 2008.

287

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.

288

Ibid.

289

Brian Greene, “String Theory on Calabi-Yau Manifolds,” lectures given at Theoretical Advanced Study Institute, 1996 session (TASI-96), Boulder, June 1996.

290

К. C. Cole, “Time, Space Obsolete in New View of Universe,” Los Angeles Times, November 16, 1999.

291

Andrew Strominger (Harvard University), interview with author, August 1, 2007.

292

Morrison, interview with author, May 29, 2008.

293

Brian Greene, Elegant Universe (New York: Vintage Books, 2000), pp. 268, 273.

294

Paul Aspinwall (Duke University), interview with author, June 6, 2008.

295

Morrison, interview with author, May 27, 2008.

296

Andrew Strominger (Harvard University), February 7, 2007.

297

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.

298

Strominger, interview with author, July 23, 2007.

299

Cumrun Vafa (Harvard University), interview with author, November 2, 2007.

300

Leonard Mlodinow, Euclid's Mirror (New York: Simon & Schuster, 2002), p. 255.

301

Edward Witten (Institute for Advanced Study), e-mail letter to author, February 12, 2007.

302

David Morrison (University of California, Santa Barbara), interview with author, May 27, 2008.

303

Ravi Vakil (Stanford University), interview with author, May 28, 2008.

304

Strominger, interview with author, August 1, 2007.

305

Piers Bursill-Hall, “Why Do We Study Geometry? Answers Through the Ages,” lecture, Faulkes Institute for Geometry, University of Cambridge, May 1, 2002.

306

Donald Zeyl (University of Rhode Island), interview with author, October 18, 2007.

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