Vita of Donald M. Davis
 BIRTH
 Born May 7, 1945 in Fort Knox, Kentucky.
 EDUCATION
 B.S. Massachusetts Institute of Technology, June 1967.
 Ph.D. Stanford University, January 1972.
Thesis Director: R. James Milgram.
 WORK EXPERIENCE
 North American Rockwell Corp., Columbus, Ohio, Research Associate,
Summers of 1963, 1964, 1965, 1966, and June 1967 to August 1968.
 University of California, San Diego, Acting Assistant Professor,
19712.
 Northwestern University,
Evanston, Illinois, Assistant Professor, 19724,
Visiting Associate Professor, 19789.
 Lehigh University, Assistant Professor, 19748.
Associate Professor 197884. Professor 1984 to present.
Chairman 19948.
 HONORS
 National Merit Scholar 1963.
 Deans List at M.I.T. 19641967.
 N.S.F. Graduate Fellow 19701971.
 N.S.F. Research Grant 19751983, 19841991.
 Libsch Research Award, Lehigh University, 1989
 AMS Special Session honored my 60th birthday, Delaware, 2005.
 Lehigh Geometry/Topology Conference honored my 70th birthday, 2015.
 Outstanding Contribution to Mathematics Education Award, Pa. Council
of Teachers of Mathematics, 2005.
 Named to Westerville High School Alumni Hall of Fame, 2007.
 Samuel Greitzer Distinguished Coach Award, American Regions Math
League, 2010
 Named an Inaugural Fellow of American Math Society, 2012
 EXTERNAL SERVICE
 Founder and moderator of electronic discussion group for algebraic topology
,
1995present.
 Executive Editor, Homology, Homotopy, and Applications, 2002present.
 Editorial Board, International Journal of Modern Mathematics, 20082012.
 National Research Council Graduate Fellowship Evaluation Panel, 19871990.
 Employment Committee, Royal Institute of Technology, Stockholm, 2010
 External Examiner, Swarthmore College, 1998, 2001
 External Evaluator, Rider University Math Department, 2015
 Organizer of Special Sessions in
Algebraic Topology, Regional AMS Meeting
at Penn State, 1990, and at Lehigh, 1992, and
at Lawrenceville, 1996 and 2004.
 Organizer of International Conference in Algebraic Topology, Oaxtepec,
Mexico, 1991.
 Organizer of JAMI Conference, Recent Progress in Homotopy Theory,
Baltimore, 2000.
 Local organizer of regional MAA conference at Lehigh, 2001.
 Organizer of Complex Cobordism Conference, Baltimore, 2007
 AMSASAIMSMAA Data Survey Committee, 20022006.
 Reviewer for Math Reviews (617 reviews) and Zentrallblatt (78
reviews)
 Referee for NSF (37 proposals), NSERC (4 proposals),
Proc AMS (21 papers), Trans AMS (17
papers),
Jour of Pure and Applied Alg (11 papers), Topology and its Applications
(25 papers),
Quar Jour Math (2), Math Scand (1), Topology (9), London Math Soc (6),
Pac Jour (2),
Arab Jour (1), Duke Jour (1), Math Ann (1), Math Zeit (2), Jour of Geom
(1), Turkish Jour (1),Geometry and Topology (6),American Math Monthly
(4), Cubo Jour (1),
Manuscripta Math (2), Jour Num Th (2), Proc Edin Math Soc (4),
Inventiones Math (1), Jour of Alg (4),
Forum Math (2), NY Math Jour (3), Documenta (1), Fundamenta Math (2),
Boletin Mat Soc Mex (4),Osaka Jour (1),Indian Jour (1), HHA (14),
Math Proc Camb Phil Soc (1), Algebraic & Geometric Topology (5),
South African Journal of Pure and Applied Math (1), Int'l Jour of Modern
Math (4), Jour of Topology (1), Jour of Quant Analysis in Sports (4),
Jour Korean Math Society (1), Rocky Mountain Journal (1), Science China
(2),Publ Math Debrecen (1),Israel Jour (1), New York Jour Math (1), Intl Scholarly Res Notes (1), Hacettepe Jour (1), Integers (2),
conference proceedings (19)
 VISITS
 Centro de Investigacion del I.P.N., Mexico City, Invited visitor,
JuneJuly 1974, March 1976, July 1978, and August 1979.
 Sabbatical Visit at University of Warwick, England, sponsored by S.R.C.,
1982.
 Sabbatical visit as funded member of Institute for Advanced Study, 1983.
 Sabbatical visit at Math Sciences Research Institute, Berkeley, 1989.
 Visiting Research Professor, Oxford University Mathematical Institute,
OctDec 1990 and June 1995.
 Visiting Professor, Johns Hopkins University, 19992000
 INVITED SPEAKER AT CONFERENCES
 Midwest Topology Seminar,
Evanston, Illinois, November 1973, November 1983.
 Homotopy Theory Conference, Evanston, Illinois, August 1974, March 1977,
March 1988.
 Oxford Topology Symposium, England, July 1975.
 Ohio State University Topology Conference, August 1975.
 University of Chicago Topology Conference, August 1975.
 Special Session in Homotopy Theory, AMS, San Antonio, January 1976;
San Francisco, January 1981; Eugene, August 1984; Baltimore, May 1986;
Baltimore, January 1992; Baltimore, Jan 1998; Denton, TX, May 1999;
Washington, Jan 2000; Baltimore, Jan 2003; Newark, Del, April 2005;
Gainesville, Nov 2019.
 NSF Summer Institute, Stanford, August 1976.
 Waterloo (Ontario) Topology Conference, June 1978.
 NSF Regional Conference, Albany, NY, June 1980.
 Oberwolfach Homotopy Theory Conference, Germany, September 1980,
September 1987.
 Topology Conference honoring Jose Adem, Oaxtepec, Mexico, August 1981.
 Manchester University Topology Conference, England, December 1982.
 Cornell University Topology Festival, May 1984.
 Stanford University Topology Conference, August 1984.
 Lefschetz International Symposium on Topology and Geometry, Mexico City,
December 1984.
 American Math Society, Summer Conference on BrownGitler Spectra,
Humboldt, June 1985.
 Durham (England) Symposium on Homotopy Theory, July 1985.
 University of Illinois Computers and Topology Conference, March 1986.
 Algebraic Topology Conference honoring Ed Brown, Arcata, California, July
1986.
 Congress in Computational Topology, Seville, Spain, August 1987.
 Homotopy Theory Conference honoring Hirosi Toda, Kinosaki, Japan, August
1988.
 Algebraic Topology Workshop at MSRI, October 1989.
 Adams Memorial Symposium, Manchester, England, July 1990
 International Conference in Algebraic Topology, Oaxtepec, Mexico, July 1991
 International Conference in Homotopy Theory, Gargnano, Italy, September
1992
 Cech Centennial Conference in Homotopy Theory, Boston, June 1993
 Algebraic Topology Conference honoring Sam Gitler, Cocoyoc, Mexico, August
1993
 American Math Society Research Conference on Periodicity in Homotopy
Theory, South Hadley, Mass, July 1994.
 Ontario Topology Conference, Peterborough, October 1995
 Fields Institute Homotopy Conference, Toronto, June 1996
 Canadian Math Society Homotopy Theory Symposium, Victoria, Dec 1997
 American Math Society Conference on Homotopy Methods in Algebraic
Topology, Boulder, CO, June 1999
 Conference on Algebraic Topology and its Applications, Stanford, Aug 1999
 Science and Art: Poincare and Duchamp, Harvard, Nov 1999
 Univ of Rochester Conference honoring Sam Gitler, April 2001
 Isle of Skye Algebraic Topology Conference, June 2001
 Centro de Investigacion 40th Anniversary Conference, Mexico City, Dec
2001
 Barcelona Conference on Algebraic Topology, July 2002
 Mexico Topology Seminar, Natl Acad Science, March 2003
 International Conference in Algebraic Topology honoring Goro
Nishida, Kinosaki, Japan, July 2003.
 Conference honoring Sam Gitler's 70th birthday, San Miguel Allende,
December 2003.
 Conference honoring Sam Gitler's 75th birthday, Valle de Bravo,
Mexico, October 2008.
 Conference honoring Sam Gitler's 80th birthday. Mexico City, Sept 2013
 Talk at Mexican Colegio Nacional installation of Sam Gitler's portrait, Sept 2015.
 INVITED SPEAKER AT TOPOLOGY SEMINAR OR
COLLOQUIUM
 Princeton University, October 1974, February 1983, April 1984, Nov. 1985,
November 1986, March 1987, October 1987, Feb 1988, Oct 1988, Apr
1999, March 2006, October 2009, March 2011, Sept 2011, Nov 2012, Oct 2014, Nov 2015, Apr 2017.
 Northwestern University, November 1974, January 1977, April 1983, April
1984, June 1986, Jan 1988, Jan 1989, Jan 1992, May 2000, May 2004, Oct
2007, Oct 2011.
 Ohio State University, January 1975, July 1977.
 University of Maryland, March 1975.
 University of Manchester (England), July 1975, Dec 1990.
 University of British Columbia, January 1977.
 University of Chicago, March 1979, April 1983, April 1984.
 Institute for Advanced Study, November 1979, January 1983, June 1983,
November 1985.
 Rutgers University, November 1980, February 1983, Dec 2014.
 Oxford University (England), October 1982, October 1990, June 1995.
 Edinburgh University (Scotland), November 1982, November 1990.
 University of Warwick (England), November 1982, November 1990.
 North Carolina State University, March 1983.
 Johns Hopkins University, March 1983, Sept 1997, Sept 1999, Apr 2000,
Oct 2002, Sept 2007, Oct 2015.
 University of Washington, May 1985.
 Massachusetts Institute of Technology, Oct 1987, March 1990,
April 2003, April 2011.
 MSRI Seminar, October 1989
 Swansea (Wales) Colloquium, November 1990.
 Wuppertal (Germany) Topology Seminar, November 1990.
 Aberdeen (Scotland) Topology Seminar, December 1990.
 Milan (Italy) Topology Seminar, May 1994.
 Univ of Rochester, October 1999, April 2011.
 CUNY Graduate Center, October 1994, Oct 1997, March 1999, Sept 2000,
Oct 2005, Dec 2007, Dec 2008, Oct 2010, Oct 2012, Oct 2014, Dec 2015, Oct 2017.
 Fields Institute (Toronto) Topology Seminar, October 1995.
 Univ of Virginia, colloq and top seminar, Apr 2000.
 Lehigh Humanities Center Lecture Series, "The Shape of Space," Feb
2001.
 New Orleans Topology Seminar, March 2002.
 Lehigh celebration of E.Pitcher's 90th birthday, "The mathematical
work of Everett Pitcher," July 2002.
 Centro de Investigacion Topology Seminar, Mexico City, March 2003
 UNAM Colloquium, Mexico City, March 2003
 Univ of Illinois Topology Seminar, ChampaignUrbana, March 2005.
 Haverford College colloquium, Oct 2005
 Millersville University colloquium, Nov 2005
 Tetrahedral Geometry/Topology Seminar, central Pa., Nov 2005
 Ontario Topology Seminar, Toronto, July 2007
 THESES DIRECTED
 Randy Davidson, M.S., 1978, A view of the elliptical catastrophe
machine.
 HyunJong Song, Ph.D., 1987, On the nonimmersion of products
of projective spaces.
 Ken Monks, Ph.D., 1989, Nilpotence and torsion bounds in the Steenrod
algebra
and its cohomology.
 Huajian Yang, Ph.D., 1995, Stable homotopy type of stunted lens spaces mod
4
 Ismet Karaca, Ph.D., 1996, Nilpotence in the mod p Steenrod algebra.
 Vitaly Zelov, Ph.D., 1997, Immersions and embeddings of real projective
spaces.
 Mike Fisher, Ph.D., 2001, Topics in v1periodic homotopy theory.
 Tom Shimkus, Ph.D., 2002, Immersions of 2torsion lens spaces.
 Leyla Batakci, Ph.D., 2002, Cohomology of the Steenrod algebra mod
nilpotents.
 Katarzyna Potocka, Ph.D., 2004, The number of summands in v1periodic
homotopy groups of SU(n).
 Xiaoxue Li, Ph.D. 2007. Some properties of v1periodic spectra
associated to exceptional Lie groups.
 Karen McCready, Ph.D. 2012, Sharpness of exponent bounds for SU(n).
 Robert Short, Ph.D. 2018, Relative topological complexity of a pair
 Steven Scheirer, Ph.D. 2018, Topological complexity of graph configuration spaces
 SERVICE TO THE UNIVERSITY
 Chairman of Colloquium Committee, Mathematics Dept., 19831989,
20089.
 Chairman of Course Committee, College of Arts & Science, 19811982.
 Freshman Advisor, College of Arts & Science, 19751981, 19911994, 1998
2002.
 Organizer of Lehigh University Mathematics Contest, 1981present.
 Member of Lehigh University Forum, 19811982.
 Member of Personnel Committee, Mathematics Department, 19811982.
 Member of Search Committee, Mathematics Department, 19831990,20026.
 Member of University Calculus Committee, 19811982.
 College of Arts and Science Policy Committee, 19841987
 Organizer of Lehigh Geometry and Topology Conference, 1986present.
 Member of University Computer Software Committee, 19861987.
 Curator of Fractal Art Exhibit, Maginnes Lobby, 1989.
 Member of Chairman's Advisory Committee, 19831993, 20012018.
 Admissions Office Faculty Recruiter, 19901993
 Faculty Compensation Committee, 19911994
 Chairman of Math Department, 19941998
 Coach of Lehigh Valley American Regions Math League team,
1993present. National champions
in 2005, 2009, 2010, and 2011.
 Search Committee for Dean of College of Arts and Sciences, 19945
 Faculty Advisor for Running Club, 19951999
 Head of Search Committee for department Chair, 2000
 Math dept graduate advisor, 20022006, 2009present
 College of Arts & Science Promotion Committee, 20022005, 201517, head in 1617.
 Pitcher Lecture Series Chair, 20062007, 2013.
 Search Committee for Professor of Practice, 2015
 Engineering College Robotics Serach Committee, 20182019.
Mathematical publications of Donald M. Davis
 Massey products and H(p,q)systems, with Victor P. Snaith,
Mathematische Zeitschrift, 132 (1973) 110.
 A vanishing theorem in homological algebra, with Donald W.
Anderson, Commentarii Mathematici Helvetici, 48 (1973) 318327.
 The antiautomorphism of the Steenrod algebra.
Proc Amer Math Soc, 44 (1974) 235236.
 Generalized homology and the generalized vector field problem,
Quarterly Jour of Math, Oxford, 25 (1974) 169193.
 Nonexistence of axial maps, Topology and its applications, Marcel
Dekker Inc., New York, (1974) 137141.
 The geometric dimension of some vector bundles over projective
spaces, with Mark Mahowald, Transactions Amer Math Soc, 205 (1975) 295316.
 A strong nonimmersion theorem for RP^{8k+7}, with Mark Mahowald,
Bulletin of Amer Math Soc 81 (1975) 155156.
 The immersion conjecture for RP^{8k+7}, Conference on Homotopy
theory, Northwestern University, 1974. Symposia of Sociedad Matematica
Mexicana, 1 (1975) 2129.
 Editor, Conference on Homotopy Theory, Northwestern University,
1974, Symposia of Sociedad Matematica Mexicana, 1 (1975).
 Correction to Symmetries and operations in homotopy theory, with
R. James Milgram, Notices of Amer Math Soc 22 (1975) p. A30.
 The cohomology of the spectrum bJ, Boletin Sociedad Matematicas
Mexicana, 20 (1975) 611.
 Immersions of complex projective spaces and the generalized vector
field problem, with Mark Mahowald, Proc London Math Soc 35 (1977) 333348.
 The homology of BO and some results about the Steenrod algebra,
with E.H. Brown and F.P. Peterson, Proc Cambridge Philosophical Soc 81 (1977)
393398.
 Immersions of projective spaces, with Mark Mahowald, Proc Symp in
Pure Math 32 (1977) 155158.
 The immersion conjecture for RP^{8k+7} is false, with Mark
Mahowald,
Transactions Amer Math Soc 236 (1978) 361383.
 Connective coverings of BO and immersions of projective spaces,
Pacific Jour Math 76 (1978) 3341.
 The BPcoaction for projective spaces, Canadian Jour Math 30 (197
8)
4553.
 Obstruction theory and kotheory, with Mark Mahowald, Proc
Evanston Homotopy Theory Conference, Lecture Notes in Math, SpringerVerlag,
658 (1978) 134164.
 A nondesuspension theorem for stunted real projective spaces,
with Mark Mahowald, Proc Amer Math Soc, 71 (1978) 143146.
 Stable pequivalences of stunted complex projective spaces,
Indiana Univ Math Jour, 28 (1979) 2334.
 BPoperations and maps of stunted complex projective spaces, Proc
Waterloo Topology Conf, Lecture Notes in Math, SpringerVerlag, 741 (1979)
373393.
 The orientability of vector bundles with respect to certain
spectra, with S. Gitler, W. Iberkleid, and M. Mahowald, Boletin Sociedad
Matematicas Mexicana, 24 (1979) 4955.
 The Euler class for connective kotheory and an application to
immersions of quaternionic projective spaces, with Mark Mahowald, Indiana
Univ Math Jour 28 (1979) 10251034.
 Nonimmersions of real projective spaces implied by BP, with Luis
Astey, Boletin Sociedad Mathematicas Mexicana, 25 (1980) 1522.
 Calculation of Lin's Ext groups, with W.H. Lin, M. Mahowald, and
J.F. Adams, Math Proc Cambridge Philosophical Soc, 87 (1980) 459469.
 v_1 and v_2periodicity in stable homotopy theory, with
Mark Mahowald, Amer Jour Math, 103 (1981) 615659.
 The stable geometric dimension of vector bundles over real
projective spaces, with S. Gitler and M. Mahowald, Transactions Amer Math
Soc, 268 (1981) 3962. Correction in same journal 280 (1983) 841843.
 An infinite family in the cohomology of the Steenrod algebra, Jou
r
of Pure and Applied Algebra, 21 (1981) 145150.
 On the Segal conjecture for Z_2\times Z_2, Proc Amer Math Soc, 83
(1981) 616618.
 Some quotients of the Steenrod algebra, Proc Amer Math Soc, 83
(1981) 619622.
 The nonrealizability of the quotient A//A_2 of the
Steenrod algebra, with Mark Mahowald, Amer Jour Math, 104 (1982) 12111216.
 Ext over the subalgebra A_2 of the Steenrod algebra for stunted
projective spaces, with Mark Mahowald, Current trends in algebraic topology
,
Conference Proc of Canadian Math Soc, 2 (1982) 297343.
 On the cohomology of MO<8>, Adem Symp on Algebraic
Topology, Contemporary Math, Amer Math Soc, 12 (1982) 91104.
 The splitting of BO<8> \smash bo and MO<8> \smash bo,
Transactions Amer Math Soc, 276 (1983) 671684.
 Some new immersions and nonimmersions of real projective spaces,
Proc
Northwestern Homotopy Theory Conference, Contemporary Math, Amer Math Soc, 19
(1982) 5164.
 Desuspensions of stunted projective spaces, Pacific Jour Math 113
(1984) 3549.
 The spectrum (P\smash bo)_{\infty}, with Mark Mahowald, Math Pro
c
Cambridge Philosophical Soc, 96 (1984) 8594.
 Unstable BPhomology and desuspensions, with Martin Bendersky,
Amer Jour Math 107 (1985) 833852.
 Oddprimary boresolutions and Ktheory localization, Illinois Ma
th
Jour 30 (1986) 79100.
 A family of unstable Steenrod modules which includes those of G.
Carlsson, Jour Pure and Applied Algebra, 35 (1985) 253267. Correction in s
ame
journal, 45 (87) 9798.
 A strong nonimmersion theorem for real projective spaces, Annals
of Math 120 (1984) 517528.
 Homotopy groups of some mapping telescopes, with Mark Mahowald,
Algebraic Topology and Algebraic KTheory, Annals of Math Studies 113, (1987),
Princeton Univ Press, 126151.
 Mapping telescopes and K_*localizations, with Mark Mahowald and
Haynes Miller, Algebraic Topology and Algebraic Ktheory, Annals of Math
Studies 113, (1987) Princeton Univ Press, 152167.
 Immersions of real projective spaces, Proceedings of Lefschetz
Conference, Contemporary Math, Amer Math Soc. 58 (1987) 3142.
 The spectrum (P\smash BP<2>)_{\infty}, with D.
Johnson, J. Klippenstein, M. Mahowald, and S. Wegmann, Transactions of Amer
Math Soc, 296 (1986) 95110.
 Classification of the stable homotopy types of stunted real
projective spaces, with Mark Mahowald, Pacific Jour Math, 125 (1986) 33534
5.
 The boAdams spectral sequence: some calculations and a proof of
its vanishing line, Seattle Homotopy Theory Volume,
SpringerVerlag Lecture Notes 1286 (1987) 267285.
 A new spectrum related to 7connected cobordism, with Mark
Mahowald, Proceedings of 1986 Conf. at Arcata, Cal., Lecture Notes in Math,
SpringerVerlag 1370 (1989) 126134.
 The use of a computer to suggest key steps in the proof of a
theorem in topology, Proc Conf on Computers in Geometry and
Topology, Univ of Illinois, Marcel Dekker (1988) 121129.
 v_1periodic Ext over the Steenrod algebra, with Mark Mahowald,
Trans Amer Math Soc. 309 (1988) 503516.
 On the complex bordism of classifying spaces, with Martin
Bendersky, Proceedings of 1986 Conference at Arcata,
Cal., Lecture Notes in Math, SpringerVerlag, 1370 (1989) 5356.
 The complex bordism of groups with periodic cohomology, with Tony
Bahri, Martin Bendersky, and Peter Gilkey, Trans. Amer. Math. Soc. (316)
(1989) 673688.
 The image of the stable Jhomomorphism, with Mark Mahowald,
Topology 28 (1989) 3958.
 Integral BrownGitler spectra, with Fred Cohen, Paul Goerss, and
Mark Mahowald, Proc. Amer. Math. Soc. 103 (1988) 12991304.
 The SO(n)oforigin, with Mark Mahowald,
Forum Math. 1 (1989) 239250.
 v_1periodicity in the unstable Adams spectral sequence, with
Mark Mahowald, Math. Zeit 204 (1990) 319339.
 v_1periodic homotopy of Sp(2), Sp(3), and S^{2n}, with Mark
Mahowald, Proceedings of 1988 Conference at Kinosaki, SpringerVerlag Lecture
Notes in Math 1418 (1990) 219237.
 Divisibility of generalized exponential and logarithmic
coefficients, Proc Amer Math Soc 109 (1990) 553558.
 Divisibility by 2 of Stirlinglike numbers, Proc
Amer Math Soc 110 (1990) 597600.
 v_1periodic homotopy groups of SU(n) at odd primes,
Proc London Math Soc 43 (1991) 529544.
 2primary v_1periodic homotopy groups of SU(n), with Martin
Bendersky, Amer Jour Math 114 (1991) 465494.
 Three contributions to the homotopy theory of the exceptional Lie
groups G_2 and F_4, with Mark Mahowald, Jour Math Soc Japan 43 (1991)
661671.
 v_1periodic homotopy groups of exceptional Lie
groupstorsionfree cases, with Martin Bendersky and Mamoru Mimura,
Trans Amer Math Soc 333 (1992) 115136.
 The unstable Novikov spectral sequence for Sp(n), and the power series
\sinh^{1}(x), with Martin Bendersky, Proc. Adams Symposium,
London Math Soc Lecture Notes Series 176 (1992) 7386.
 Some remarks on v_1periodic homotopy groups, with Mark Mahowald,
Proc Adams Symposium, London Math Society Lecture Notes Series 176 (1992)
5572.

The Nature and Power of Mathematics, Princeton University Press,
1993. Reprinted by Dover in 2003.
 Immersions of projective spaces: a historical survey,
Proc Int Conf in Algebraic Topology, Oaxtepec, Contemporary Math Series of
Amer Math Soc. 146 (1993) 3138.
 On the unstable Adams spectral sequence for SO and
U, and
splittings of unstable Ext groups, with A. K. Bousfield,
Bol Soc Math Mex 37 (1992) 4153.
 v_1localizations of torsion spectra and spherically resolved
spaces, with Mark Mahowald, Topology 32 (1993) 543550.
 v_1periodic homotopy groups of Sp(n), with
Martin Bendersky and Mark Mahowald, Pac Jour Math 170 (1995) 319378.
 3primary v_1periodic homotopy groups of F_4 and E_6, with
Martin Bendersky, Trans Amer Math Soc 344 (1994) 291306.
 Computing v_1periodic homotopy groups of spheres
and certain Lie groups, Handbook of Algebraic Topology, El
sevier (1995) 9931049.
 Equivalences of some v_1telescopes,
Proc of Gitler
Conference, Contemporary Math AMS 188 (1995) 8192.
 Tractable formulas for v_1periodic homotopy group
s
of SU(n) when n < p^2p+2, with Huajian Yang, Forum Math 8 (1996)
585620.
 Elements of large order in pi_*(SU(n))
, Topology 37 (1998) 293327.
 Embeddings of real projective spaces,
Boletin Sociedad Matematica Mexicana 4 (1998) 115122.
 Some new embeddings and nonimmersions of real
projective spaces, with Vitaly Zelov,
Proceedings of Amer Math Soc 128 (2000) 37313740.

3primary v1periodic homotopy groups of E7,
New York Journal of Mathematics 4 (1998) 185221.
 Articles on Fractals, Neutral geometry, NonEuclidean
geometry, and Topology in
Encyclopedia of Mathematics Education, RoutledgeFalmer, NY
(2001).
 Learning and Teaching about Fractals,
Fractals,
Computer Graphics, and Mathematics Education, edited by M. Frame and
B. Mandelbrot, Math Assn Amer (2002) 5561.
 From Representation Theory to Homotopy
Groups, Memoirs Amer Math Soc 759 (2002).

The 1line of the Ktheory BousfieldKan
spectral sequence for Spin(2n+1), with Martin Bendersky,
Contemp Math AMS 279 (2001) 3756.

Compositions in the v1periodic homotopy groups of spheres,
with Martin Bendersky, Forum Math 15 (2003) 229245.
 Nonimmersions of real projective spaces implied
by tmf, with Robert Bruner and Mark Mahowald,
Contemp Math Amer Math Soc 293 (2002) 4568.
 A stable approach to an unstable homotopy
spectral sequence with Martin Bendersky, Topology 42 (2003)
12611287.
 The Kcompletion of E6, Progress in
Math, Birkhauser 215 (2003) 107124.
 Editor, Recent Progress in Homotopy Theory, Contemporary Math
Amer Math Soc 293 (2002).
 Generalized axial maps and Euclidean
immersions of lens spaces, with Luis Astey and Jesus Gonzalez,
Boletin Mexican Mathematical Society 9 (2003) 151163.
 v1periodic homotopy groups of
SO(n), with Martin Bendersky, Memoirs of Amer Math
Soc 815 (2004).
 Representation types and 2primary
homotopy groups of certain compact Lie groups, Homology,
Homotopy, and Applications 5 (2003) 297324.
 Stable geometric dimension of vector
bundles over evendimensional real projective spaces,
with Martin Bendersky and Mark Mahowald, Trans Amer Math Soc 358 (2006)
15851603.
 The mathematical work of Sam Gitler,
19602003 Contemporary Math AMS, 407 (2006) 19.
 2primary v1periodic homotopy groups of
SU(n) revisited, with Katarzyna Potocka, Forum Math 19 (2007)
783822.
 Stable geometric dimension of vector
bundles over odddimensional real projective spaces, with Martin
Bendersky, Bol Soc Mat Mex 12 (2006) 85108.
 A
numbertheoretic approach to homotopy exponents of SU(n), with
ZhiWei Sun, Jour Pure Appl Algebra 209 (2007) 5769.
 Combinatorial congruences modulo prime
powers, with ZhiWei Sun, Trans Amer Math Soc 359 (2007)
55255553.
 Oddprimary homotopy exponents of compact
simple Lie groups, with Stephen Theriault, Geometry
and Topology Monographs 13 (2008) 195201.
 Some new immersion results for complex
projective spaces, Proceedings of Edinburgh
Mathematical Society 51 (2008) 2744.
 ARMLFire, Ice, and Lightning, PCTM Magazine 45 (2006) 1416.
 Immersions of RP^{2^e1}, with
Giora Dula, Jesus Gonzalez, and Mark Mahowald, Algebraic and
Geometric
Topology 8 (2008) 9971030.
 Nonimmersions
of RP^n implied by tmf,
revisited, with Mark Mahowald, Proceedings of
Complex Cobordism Conference, HHA 10 (2008) 151179.
 v1periodic homotopy groups of the
DwyerWilkerson space, with Martin Bendersky, New
York Journal of Mathematics, 14 (2008) 379392 .
 Homotopy types and v1periodic homotopy
groups
of pcompact groups, Topology and its
Applications 156 (2008) 300321.
 Divisibility by 2 and 3 of certain Stirling
numbers, Integers 8 (2008) #A56, 25 pages.
 Editor of conference proceedings,
Complex cobordism in homotopy theory: its impact and prospects, HHA 10
(2008).
 Projective product spaces, Jour of Topology 3 (2010) 265279.
 Maximizing a combinatorial expression
arising from crowd estimation, Int Jour Modern Math 5 (2010) 129148.
 Markov analysis of APBA, a baseball simulation game, Jour Quant Analysis in Sports
73 (2011), 13 pages..
 Coefficients in powers of the log
series, Integers 11 (2011) 177184.
 Connective versions of TMF(3),
with Mark Mahowald, International Journal of Modern Math 5 (2010) 223252.
 The KO^*rings of BT^m, the
DavisJanuszkiewicz spaces and certain toric manifolds, with
Astey, Bahri, Bendersky, Cohen, Gitler, Mahowald, Ray, and Wood,
Jour Pure Appl Alg 218 (2014) 303320.
 Vector fields on RP^m x RP^n,
Proc Amer Math Soc 140 (2012) 43814388.
 Some new nonimmersion results for real
projective spaces, Bol Soc Mat Mex 17 (2011) 159166.
 Algebraic topology: there's an app for
that, Math Horizons 19 (2011) 2325.
 Divisibility by 2 of partial Stirling
numbers, Functiones et Approximatio Commentarii Mathematici 49 (2013) 2956.
 v1periodic 2exponents of SU(2^e) and SU(2^e
+ 1), Jour Pure Appl Alg 216 (2012) 12681272.
 For which padic integers x can
Sum_k 1/binom(x,k)be defined?, Jour Combinatorics and Number Theory 4 (2012) 87109.
 For which 2adic integers x can Sum 1/binomial(x,k) be defined?, Jour Combinatorics and Number Theory 6 (2014) 6568.
 Binomial coefficients involving infinite powers of primes, Amer Math Monthly 121 (2014) 734737.
 padic Stirling numbers of the second kind, Fibonacci Quarterly 52 (2014) 226235.
 Enumerating lattices of subsets, Advances and Applications in Discrete Math 13 (2014) 143153.
 2adic partial Stirling functions and their zeros, Jour of Combinatorics 5 (2014) 355378.
 Topological complexity of 2torsion lens spaces and ku(co)homology, Morfismos 18 (2014) 140.
 Real projective space as a space of planar polygons, Morfismos 19 (2015) 16.
 Topological
complexity of some planar polygon spaces, Bol Soc Mat
Mex, 23 (2017) 129139.
 Topological complexity of spatial
polygon spaces, Proc Amer Math Soc 144 (2016) 36433645.
 Topological complexity of planar polygon
spaces with small genetic code, Forum
Mathematicum., 29 (2017) 313328.
 On the zerodivisorcuplength of spaces
of oriented isometry classes of planar polygons,
Topology and its Applications 207 (2016) 4353.
 On the cohomology classes of planar
polygon spaces, Contemp Math AMS. 702 (2018) 8589.
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