Books I Authored or Coauthored

  1. Hodge Theory and the Local Torelli Problem Hodge Theory and the Local Torelli Problem Memoirs of the American Mathematical Society 279, AMS, Providence, Rhode Island, 1983, vi + 64 pages.

    This monograph is part of my Ph.D. thesis. It is somewhat specialized, but I think it gives a good exposition of mixed Hodge structures.

  2. A picture of the manifolds bookAn Introduction to Manifolds, Universitext, Springer, New York, second edition, 2011, xviii + 410 pages.

    www.amazon.com/Introduction-Manifolds-Universitext-Loring-W/dp/1441973990/ ref=sr_1_1?ie=UTF8&s=books&qid=1308262568&sr=1-1

    The second edition is completely revised from the first. Apart from correcting errors and misprints, I have thought through every proof again, clarified many passages, and added new examples, exercises, hints, and solutions. In the process, every section has been rewritten, sometimes quite drastically. The revision resulted in fifty additional pages. errata

  3. A picture of the DFAT book Differential Forms in Algebraic Topology (with Raoul Bott), third corrected printing, Graduate Text in Mathematics, Springer, New York, 1995.

    www.amazon.com/Differential-Algebraic-Topology-Graduate-Mathematics/ dp/1441928154/ref=sr_1_2?ie=UTF8&s=books&qid=1308262568&sr=1-2

    The third printing published in 1995 corrects misprints in earlier printings; after that, the book has remained stable. Any printing dated 1995 or later should be fine. Earlier printings should be discarded.

  4. A picture of the differential geometry bookDifferential Geometry: Connections, Curvature, and Characteristic Classes, Graduate Texts in Math. vol. 275, Springer, New York, 2017, xvii + 346 pages. errata

    www.amazon.com/Differential-Geometry-Connections-Characteristic-Mathematics/dp/3319550829


  5. A picture of the equivariant cohomology bookIntroductory Lectures on Equivariant Cohomology, Annals of Mathematics Studies vol. 204, Princeton University Press, Princeton, NJ, 2020, xx + 315 pages. errata

    www.amazon.com/Introductory-Lectures-Equivariant-Cohomology-Mathematics/ dp/0691191751/ref=sr_1_4?keywords=Loring+tu&qid=1564499203&s=books&sr=1-4







Book I Edited

  1. A picture of Bott, Vol. 5 Raoul Bott: Collected Papers , Vol. 5, Springer Birkhäuser, Cham, Switzerland, 2017.

    This volume brings together all of Bott's published articles since 1991 as well as some articles published earlier but missing from the earlier volumes. It contains commentaries by experts in the field and a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other matthematicians.

Books I Contributed Articles to

  1. Topics in Transcendental Algebraic Geometry Topics in Transcendental Algebraic Geometry edited by Phillip Griffiths, Annals of Mathematics Studies 106, Princeton University Press, Princeton, NJ, 1984.

  2. Berlin Proceedings of the Conference on Algebraic Geometry, Berlin 1985 edited by Herbert Kurke and Marko Roczen, Teubner-Texte zur Mathematik 92, B. G. Teubner, Leipzig, 1986.

  3. The Founders of Index Theory The Founders of Index Theory 2nd edition, edited by Shing-Tung Yau, International Press, Somerville, MA, 2009.

    I have two articles in this book. Unfortunately, my first name is misspelled as "Loren" in both of them.

  4. Hodge Theory Hodge Theory edited by E. Cattani, F. El Zein, P. A. Griffiths, and L. D. Trá, Mathematical Notes 49, Princeton University Press, Princeton, NJ, 2014.

  5. Algebraic Geometry and Number Theory Algebraic Geometry and Number Theory (Summer School, Galatasaray University, Istanbul, 2014), edited by M. Mourtada, C. C. Sarioglu, C. Soulé, A. Zeytin, Progress in Mathematics 321, Birkhäuser, Springer International Publishing, Cham, Switzerland, 2017.

  6. A picture of Bott, Vol. 5 Raoul Bott: Collected Papers , Vol. 5, Springer Birkhäuser, Cham, Switzerland, 2017.