**RECENT and CURRENT W****ORK****
**

(publications, preprints, links, etc.)

(publications, preprints, links, etc.)

Tempered endoscopy for real groups I: geometric transfer with canonical factors.

Contemporary Math, Vol. 472 (2008), pp. 215 – 246.

Tempered endoscopy for real groups II: spectral transfer factors.

自守形式与Langlands纲领 * Automorphic forms and the Langlands Program
*

Higher Education Press/ International Press, 2009/ 2010, pp. 236 – 276.

Preprint pdf

**Tempered endoscopy for real groups III: inversion of transfer and L-packet
structure.**

Representation Theory, Vol. 12 (2008), pp. 369 – 402. here

Preprint (remark added, p. 48) pdf

Examples in endoscopy for real groups.

Notes for talks,

Galois representations and Shimura varieties, 59 pp. pdf

**A note on real endoscopic transfer and pseudo-coefficients.**

Preprint (preliminary version, Nov 2010), 6 pp. pdf

**Some results on endoscopic transfer.
**

Notes for Banff 2011 workshop on L-packets, 18 pp. pdf Another abstract pdf

**On geometric transfer in real twisted endoscopy.**

Annals of Math, Vol. 176 (2012), pp. 1919 – 1985. here

Preprint (v. May 2012) pdf

**On splitting invariants and sign conventions in endoscopic transfer.**

With R. Kottwitz.

Preprint (v. Jan 2012) 19 pp. pdf arXiv

**Slides for talks:**

*slide 15: normalize integrals with |D|^{1/2}

**On the structure of endoscopic transfer factors.**

Accepted for publication.

Preprint (v. March 2015) 22 pp. pdf arXiv

**On elliptic factors in real
endoscopic transfer I.**

*Progress in Math 312, Birkhäuser (2015), *
pp. 455 – 504.

Preprint (v. October 2015) pdf arXiv

**On elliptic factors in real endoscopic
transfer II**, in preparation.

**On stable transfer for real groups. **

has new title:

**Beyond Endoscopy: an approach to
stable-stable transfer at
the archimedean places.**

"This paper comes in three parts. In Part A, we describe the precise formulation of our main theorem on the stable-stable transfer for the archimedean places within the theme of Beyond Endoscopy envisaged recently by Langlands [Langlands-2010]. To arrive at our formulation and include explicit formulas, we prove several preparatory results for a connected reductive linear algebraic group that is defined over the real field

**R**. A base change result for

**C**/

**R**is included."

A preprint for Part A will be available on request, as soon as available.

"Part B is focused on proof of our main theorem, along with the explicit formulas described in Part A. The final Part C is concerned with first applications of the main theorem."

**On some early sources for the notion of transfer in Langlands Functoriality. **

In preparation, preprint will be available shortly.

Invited paper for special volume dedicated to R. P. Langlands, Cambridge University Press, to be submitted for refereeing by April 2019.

From submitted brief summary, August 2018: "... we may ask what does transfer mean or even what does Langlands Functoriality mean. The two notions, whatever they are or should be, are intricately intertwined with each other. To get started, what are the objects we study? And then, what does it mean to transfer them? Where do functoriality principles come into play? After very limited remarks towards answers in some generality, we examine, also briefly, several concrete examples where we do have quite simple explicit answers. They do appear to be of interest and perhaps of a little influence in current research work on both Endoscopic Transfer and Transfer Beyond Endoscopy. ..."

**OLDER W****ORK**

*Foundations of Twisted Endoscopy*

Astérisque, Vol. 255, 1999.

With R. Kottwitz.

Preprint, 180 pp. pdf Errata (January 2012): see pdf

A formula for regular unipotent germs.

Astérisque, Vol. 171 – 172 (1989), pp. 275 – 277.

Preprint pdf

**Transfer and descent: some recent results.
**

*Harmonic Analysis on Reductive Groups*, Birkhäuser (1991), pp. 297
– 304.

Preprint pdf

**Base change and a matching theorem for real groups.
**

*Noncommutative Harmonic Analysis and Lie
Groups,
*SLN 880 (1981),
pp. 425 – 482.

Preprint pdf

**Endoscopic groups and base change C/R.**

Pacific J. Math, Vol. 110 (1984), pp. 397 – 415. here

Orbital integrals, endoscopic groups and L-indistinguishability for real groups.

*Journées Automorphes*, Publ. Math. Univ.

Preprint pdf

**Embeddings of L-groups.**

Canad. J. Math, Vol. 33 (1981), pp. 513 – 558.

**Orbital integrals for GL**_{2}**(R).
**

Proc. Sympos. Pure Math, Vol. 33.1 (1979), pp. 107 – 110. pdf

**Notes on L-indistinguishability (based on a lecture of R. Langlands).
**

Proc. Sympos. Pure Math, Vol. 33.2 (1979), pp. 193 – 203. pdf

**Some character relations for real reductive algebraic groups.**

Thesis, 58 pp. pdf

*" ... had proven in
her thesis many pretty results on real groups."*

Corvallis proceedings, part 2, p. 162.

****

**Other papers:** either reprint is freely available online
here or
here
or here

or if joint with R. Langlands then there is a coauthor preprint here

**CURRENT TEACHING**

**Fall 2018 office hours: Sep 04 - Dec 11**

Tuesdays, 11:30 am – 1:30 pm

Phone, Fax: please use email

**Fall 2018 teaching**

26:645:631:01 [Graduate] Algebra I

26:645:799:01 Doctoral Dissertation & Research [1 student]

All available course info is posted on Blackboard

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**Recent course assignments**

Spring 2018: 21:640:238:Q1 Foundations of Modern Math

Spring 2018: 26:645:736:01 Adv Topics in Rep Theory

Spring 2018: 26:645:799:01 Doctoral Dissertation & Research

Fall 2017: 21:640:238:Q1 Foundations of Modern Math

Spring 2017: 21:640:238:Q1 Foundations of Modern Math

Spring 2017: 21:640:435:01 Geometry I

Fall 2016: 21:640:238:Q1 Foundations of Modern Math

Spring 2016: 26:645:636:01 Lie Groups

Fall 2015: 21:640:311:01 Advanced Calculus I

Fall 2015: 26:645:612:01 Real Analysis II

Spring 2015: 26:645:632:01 Algebra II

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Fall 2014: 26:645:631:01 Algebra I

Spring 2014: 21:640:156:01 Honors Calculus II

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Fall 2013: 26:645:736:01 Adv Tpcs - Rep Theory

Fall 2013, Individual Study: 21:640:494:01

Spring 2013: 26:645:632:01 Algebra II

Spring 2013: 21:640:492:Q1 Math Seminar info

Spring 2013, Individual Study: For Honors College 21:525:498:01

**OTHER**

old-cv [format no longer used]