vita

Daniel Alan Goldston

PDF Vita August 2004

Education
Credentials
Employment
Thesis
Professional Activities
Grants
Co-authors
Publications
Professional Talks

Born January 4, 1954

June 1975	B.A. in Mathematics	U.C.Berkeley
Dec. 1978	M.A. in Mathematics	U.C.Berkeley
June 1981	Ph.D. in Mathematics	U.C.Berkeley

Credentials

June 1979 California Community College Teaching Credential in Mathematics

Employment

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1988-present	Professor	San Jose State University
1999	Visiting Research Professor	Mathematics Science Research Institute
1994	Visiting Professor	University of Toronto
1990	Member	Institute for Advanced Study
1985-1988	Associate Professor	San Jose State University
1983-1985	Assistant Professor	San Jose State University
1982-1983	Member	Institute for Advanced Study
1981-1982	Assistant Professor	University of Minnesota Duluth
1980-1981	Instructor	Merritt College
1980	Instructor	College of Alameda
1980	Research Associate	U.C. Berkeley
1979-1981	Teaching Associate	U.C. Berkeley
1977-1979	Teaching Assistant	U.C. Berkeley
1976-1977	Reader	U.C.Berkeley

Thesis "Large Differences Between Consecutive Prime Numbers"

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Thesis Adviser R.S. Lehman

Honors San Jose State University Presidential Scholar 2006

Professional Activities

Organizer, 90 minutes Symposia titled Prime Numbers: New Development on Ancient Problems, 2007 AAAS Annual Meeting, San Francisco.

Co-Organizer of AIM Workshop on Gaps Between Primes, December 2005.

Editorial Board, Integer

Reviewer for Math Reviews, Zentralblatt fur Mathematik, NSF, NSA

Referee for American Mathematical Monthly, Mathematics Magazine, Proceedings of the AMS, London Mathematical Society, Journal of Number Theory, Acta Arithmetica, Duke Math Journal, Crelle, Inventiones

Grants

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NSF DMS-8705710 "Mathematical Sciences: Multiplicative and Additive Theory of Prime Numbers and Related Topics in Analytic Number Theory" 1987-1989

NSF DMS-9003329 "Mathematical Sciences: RUI: Topics in Analytic Number Theory Related to the Distribution of Primes" 1990-1992

NSF DMS-9205533 "Mathematical Sciences: RUI: Binary Additive Problems Involving Primes and Other Topics in Analytic Number Theory" 1992-1994

NSF DMS-9303986 (with Roger Alperin) Mathematical Sciences Computing Research Environment Award

NSF DMS-9626903 "Mathematical Sciences: RUI: Distribution of Primes and Other Topics in Analytic Number Theory" 1996-1999

NSF DMS-0070777 "Mathematical Sciences: RUI: Distribution of Primes and a Higher Correlation Method" 2000-2003

NSF DMS-0300563 "Mathematical Sciences: RUI: Moments of Short Divisor Sums and the Distribution of Primes" 2003-2008

Co-authors

A. Y. Cheer, Brian Conrey, J. Friedlander, Amit Ghosh, S. M. Gonek, S. Graham, D. R. Heath-Brown, Kevin McCurley, H. L. Montgomery, Y. Motohashi, A. Ozluk, J. Pintz, C. Snyder, R. C. Vaughan, Y. C. Yildirim

Publications

1982

[1] On a result of Littlewood concerning prime numbers, Acta Arithmetica XL vol 3 (1982), 263-271.

1983

[2] On a result of Littlewood concerning prime numbers II, Acta Arithmetica XLIII (1983), 49-51.

1984

[3] (with D. R. Heath-Brown) A note on the difference between consecutive primes, Math. Annalen 266 (1984), 317-320.

[4] The second moment for prime numbers, Quart. J. Math. Oxford (2) 35 (1984), 153-163.

1985

[5] Prime numbers and the pair correlation of zeros of the zeta function, Topics in Analytic Number Theory, University of Texas Press, Austin, 1985, 82-91.

[6] (with J. B. Conrey, A. Ghosh, S. M. Gonek, and D. R. Heath-Brown) On the distribution of gaps between zeros of the zeta-function, Quart. J. Math. Oxford (2) 36 (1985), 43-51.

1987

[7] (with A. Y. Cheer) A moment method for primes in short intervals, C. R.Math. Rep. Acad. Sci. Canada, Vol XI, No. 2, April 1987, 101-106.

[8] (with H. L. Montgomery) Pair correlation of zeros and primes in short intervals, Analytic Number Theory and Diophantine Problems, Birkhauser, Boston, Mass., 1987, 183-203.

[9] The function S(T) in the theory of the Riemann zeta-function, Journal of Number Theory 27, May, 1987, 149-177.

[10] (with A. Y. Cheer) Longer than average intervals containing no primes, Transactions of the AMS, 304 Dec. 1987, 469-486.

1988

[11] (with Kevin McCurley) Sieving the positive integers by large primes, Journal of Number Theory, 28 Jan.. 1988, 94-115.

[12] On the pair correlation conjecture for zeros of the Riemann zeta-function, J. reine angew. Math. 385 (1988), 24-40.

[13] (with Kevin McCurley) Sieving the positive integers by small primes, Transactions of the AMS, 307 May 1988, 51-62..

1990

[14] (with S. M. Gonek ) A note on the number of primes in short intervals, Proceedings of the AMS, 108 No. 3, March 1990, 613-620.

[15] (with A. Y. Cheer) A differential delay equation arising from the sieve of Eratosthenes, Mathematics of Computation, 55 No. 191, July 1990, 129-141.

[16] Linnik's theorem on Goldbach numbers in short intervals, Glasgow Math. J. 32 (1990) 285-297.

1992

[17] On Bombieri and Davenport's theorem concerning small gaps between primes, Mathematika 39 (1992), 10-17..

1993

[18] An exponential sum over primes, Number Theory with an emphasis on the Markov spectrum, Lecture Notes in pure and applied mathematics Vol 147, Mercel Dekker, New York, 1993, 101-106.

[19] On Hardy and Littlewood's contribution to the Goldbach problem, Proceedings of the Symposium on Analytic Number Theory, Amalifi 1989, 115-155.

[20] (with A. Y. Cheer) OSimple zeros of the Riemann zeta-function, Proceedings of the AMS, 118 No. 2, June 1993, 365-372..

[21] An exponential sum over primes, Number Theory with an emphasis on the Markov spectrum, Lecture Notes in pure and applied mathematics Vol 147, Mercel Dekker, New York, 1993, 101-106.

1995

[21] (with J. B. Friedlander) Some singular series averages and the distribution of Goldbach numbers in short intervals, Illinois J. of Math., 39 No. 1 Spring 1995, 158-180.

[22] A lower bound for the second moment of primes in short intervals, Expo Math. 13 (1995), 366-376.

1996

[23] (with A. Y. Cheer) Turan's pure power sum problem, Mathematics of Computation, 65 No. 215, July 1996, 1349-1358.

[24] (with J. B. Friedlander) Variance of distribution of primes in residue classes, Quart. J. Math. (Oxford) (2) 47 (1996) 313-336.

[25] (with R. C. Vaughan) On the Montgomery-Hooley asymptotic formula, Sieve Methods, Exponential Sums, and their Application in Number Theory, Greaves, Harman, Huxley Eds., Cambridge University Press, (1996), 117-142.

1997

[26] (with J. B. Friedlander) Sums of three or more primes, Transactions of the AMS, 349, No. 1, January 1997, 287-310.

1998

[27] (with S. M. Gonek) Mean value theorems for long Dirichlet polynomials and tails of Dirichlet series, Acta Arithmetica LXXXIV.2 (1998), 155-192.

[28] (with C. Y. Yildirim) Primes in short segments of arithmetic progressions, Can. J. Math.. 50 (3) 1998, 563-580.

1999

[29] (with J. B. Friedlander) Note on a variance in the distribution of primes, Proceedings of the Schinzel Conference, July 1997, Zakopane, Poland, de Gruyter, 841-828.

2000

[30] (with Gonek, Ozluk, Snyder) On the pair correlation of the zeros of the Riemann zeta-function, Proc. London Math. Soc. (3) 80 (2000) 31-49.

[31] The major arcs approximation for an exponential sum over primes, Acta Arithmetica XCII.2 (2000) 169-179..

2001

[32] (with S. M. Gonek and H. L. Montgomery) Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals, J. reine angew. Math., 537 (2001) 105-126.

[33] (with C. Y. Yildirim) On the second moment for primes in an arithmetic progression, Acta Arithmetica .100 Issues 1-4, 2001, 85-104.

2003

[34] (with C. Y. Yildirim) Higher correlations of divisor sums related to primes: I: Triple correlations, Integers 3 (2003), A5, 66pp. (electronic).

2005

[35] Notes on pair correlation of zeros and prime numbers, Recent Perspectives in Random Matrix Theory and Number Theory, LMS Lecture Note Series 322, Edited by F. Mezzadri and N. C. Snaith, Cambridge University Press, 1985, 79-110.

2006

[36] (with Y. Motohashi, J. Pintz, and C. Y. Yildirim), Small gaps between primes exist, Proc. Japan Acad., 82A (2006), 61-65.

[37] (with J. Pintz and C. Y. Yildirim), Primes in Tuples III, Functiones at Approximatio, XXXV (2006), 79-89.

2007

[38] (with S. M. Gonek), A note on S(t) and the zeros of the Riemann zeta function, Bull. London Math. Soc. 39 (2007) 482-486.

[39] (with C. Y. Yildirim), Higher correlation of short divisor sums II: Triple correlations: Variations of the error term in the prime number theorem, Proc. London Math. Soc. (3) 95 (2007) 199-247.

Papers Accepted

[40] (with J. Pintz, C. Y. Yildirim), Primes in Tuples I, Annals of Mathematics, AIM Preprint 2005-19

[41] (with C. Y. Yildirim) Higher correlation of short divisor sums III: Gaps between primes, Proc. London Math. Soc., AIM Preprint 2005-12.

[42] (with J. Pintz, C. Y. Yildirim), The path to recent progress on small gaps between primes, to appear in Clay Mathematics Proceedings, Volume 7, 2007, AIM Preprint 2005-31.

[43] Are there infinitely many twin primes?, to appear in book of Bay Area Math Adventure (BAMA) Talks

Papers Submitted

[44] (with S. W. Graham, J. Pintz, and C. Y. Yildirim), Small gaps between primes and almost primes, AIM Preprint 2005-14

[45] (with J. Pintz and C. Y. Yildirim) Primes in Tuples II

Papers in Preparation

[46] (with S. W. Graham, J. Pitz and C. Y. Yildirim) Small Gaps Between Products of Primes, to be submitted, AIM Preprint 2006-60

[47] (with Tsz Ho Chan and C. Y. Yildirim) Pair correlation of zeros of L-functions, in preparation.

Other publications

[1] (with A. Y. Cheer) A note on using calculus to explain the decimal expansion of 1/81, Math. and Computer Education, 25, no. 3, Fall 1991, 283-284.

Professional Talks

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May 2007	Plenary Speaker	Illinois Number Theory Fest
Feb 2007	Colloquim Talk	University of Rochester
Nov 2006	Colloquim Talk, Seminar Talk	MIT
Oct 2006	Colloquim Talk, Seminar Talk	San Diego State
Oct 2006	Invited Talk	Boğaziçi University, Bebek, Istanbul, Turkey
Sept 2006	Colloquim Talk, Seminar	Penn State University
June 2006	Colloquim Talk	University of California Santa Cruz
May 2006	Seminar Talk	Kyoto University, Japan
May 2006	3 Talks	Rikkyo University, Tokyo, Japan
April 2006	Math Mardi Gras Talk	AIM talk at Morgan Hill
April 2006	Chelleri Lecture, Seminar Talk	Cornell
April 2006	Colloquim Talk	University of Waterloo
Mar 2006	3 hour talks	University of Montreal
Feb 2006	Seminar Talk	Institute for Advanced Study
Feb 2006	Colloquim Talk	Princeton
Nov 2005	Several Talks	AIM Workshop on Prime Gaps
Nov 2005	Seminar Talk	U. C. Berkeley
Oct 2005	Plenary speaker	Integer Conference 2005, Western Georgia State
Oct 2005	Colloquim Talk	Santa Clara University
Oct 2005	Colloquim Talk	San Francisco State University
Sept 2005	Invited Talk	Columbia/ CUNY/NYU Number Theory Semina
Sept 2005	Bay Area Math Adventure	Santa Clara University
Sept 2005	Colloquim Talk, Seminar Talk	University of Michigan
Aug 2005	Colloquim Talk	San Jose State University
May 2005	Invited Talk	Nathanson Conference, CUNY Graduate Center
Sept 2004	30 minute talk	Oberwolfach
June 2004	30 minute talk	Canadian Number Theory Association, VIII Toronto
Apr 2004	4 hour talks	Zeta Function and Random Matrices Workshop, Newton Institute, Cambridge University
Feb 2004	1 hour talk	North Calif MAA Region Meeting
Apr 2003	1 hour talk	American Institute of Mathematics
Mar 2003	1 hour talk	Oberwolfach
Oct 2002	20 minute talk	AMS Special Session, Salt Lake City

Jan. 2002	20 minute talk	AMS Special Session, San Diego
Oct. 2001	Hour talk	University of California Santa Cruz
May 2001	Invited talk	AIM Conference on L-Functions and Random Matrices
June 1999	30 minute talk	MSRI
Mar. 1998	30 minute talk	Oberwolfach
Apr. 1996	Invited Colloquim talk	Calpoly, San Luis Obispo
Nov. 1995	Invited Colloquim talk	University of California, Davis
May 1995	30 minute talk	Halberstam conference
Dec. 1994	Hour talk	University of Rochester
Nov. 1994	Invited Colloquim talk	University of Toronto
Nov. 1994	Hour talk	University of Waterloo
Nov. 1994	Hour talk	McGill University
Sept. 1994	Hour talk	University of Michigan
Sept. 1994	Hour talk	University of Toronto
May 1994	Invited Colloquim talk	Calpoly, San Luis Obispo
Apr. 1994	Invited Colloquim talk	San Francisco State
July 1993	30 minute talk	Analytic Number Theory, Hong Kong
May 1993	20 minute talk	AMS Special Session, De Kalb
May 1992	Invited Colloquim talk	Santa Clara University
Aug. 1991	20 minute talk	AMS Special Session, Orono
June 1991	Hour talk	Rutgers University
May 1991	30 minute talk	Provo Number Theory Conference
Nov. 1990	Hour talk	Seminar in Analytic Number Theory Institute for Advanced Study
Oct. 1990	Member	Seminar in Analytic Number Theory Institute for Advanced Study
Sept. 1989	Invited talk	International symposium on Analytic Number Theory, Amalfi, Italy
Aug. 1989	Talk	Second Canadian Number Theory Conference, Vancouver
Apr. 1987	Invited Talk	IBM Almaden Research
Apr. 1987	Invited Colloquim talk	Stanford University
Feb. 1987	Invited Colloquim talk	University of California, Davis
Oct. 1986	Invited Colloquim talk	Cal Poly, San Luis Obispo
Nov. 1985	Invited Colloquim talk	Santa Clara University
Mar. 1985	Invited Colloquim talk	San Francisco State
Jan. 1985	20 minute invited talk	Special Session in Analytic Number Theory AMS 1985 annual meeting, Anaheim
June 1984	20 minute talk	Analytic Number Theory and Diophantine Problems Conference, Oklahoma State University
Mar. 1984	Hour talk	Stanford Number Theory seminal
Jan. 1984	Colloquim talk	Oklahoma State University
Mar. 1983	Hour talk	M.I.T. number theory seminar
Jan. 1983	20 minute talk	Special Session in Number Theory AMS 1983 annual meeting, Denver
June 1982	Hour talk	Austin Number Theory Conference 1982
Dec. 1980-93	15 minute talks	Western Number Theory Conference

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