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Chandan Dalawat
Works at Harish-Chandra Research Institute
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The following problem which I discussed in 2006 (http://arxiv.org/abs/math/0605328) seems to have been solved by Fabrizio Andreatta,  Adrian Iovita and Minhyong Kim :

https://www.youtube.com/watch?v=7uWdMkZv9IU
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Just to add, a student of Iovita, Rogelio Buendia, has shown a similar 'crystalline' criteria for smooth K3 surfaces over any finite extension of Q_p.
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http://arxiv.org/abs/1508.02228

The ramification filtration in certain $p$-extensions

Chandan Singh Dalawat
(Submitted on 10 Aug 2015 (v1), last revised 16 Aug 2015 (this version, v2))

Abstract : We show that the recent result of Castañeda and Wu about the ramification filtration in certain p-extensions of function fields of prime characteristic p is equally valid over local fields of mixed characteristic (0,p). Apart from being applicable to both equicharacteristic and mixed characteristic cases, our method has the advantage of being purely local, purely conceptual, more natural, and much shorter.

Bibliography

CAPUANO (L) & DEL CORSO (I):
Upper ramification jumps in abelian extensions of exponent $p$,
Preprint, http://arxiv.org/abs/1407.2496


CASTAÑEDA (J) & WU (Q): 
The ramification group filtrations of certain function field extensions,
Pacific Journal of Mathematics 276.2 (2015), 309--320.
http://msp.org/pjm/2015/276-2/p04.xhtml


DALAWAT (C):
Local discriminants, kummerian extensions, and elliptic curves,
J. Ramanujan Math. Soc. 25.1 (2010), 25--80.
https://drive.google.com/open?id=0B8EHtI8F9qdIZDA1ZGFlYzAtNTIyOS00ZDdmLWFjYTQtYTRiMzQyZWY5ZTI4

Cf. http://arxiv.org/abs/0711.3878


DALAWAT (C):
Further remarks on local discriminants, 
J. Ramanujan Math. Soc. 25.4 (2010), 393--417.
https://drive.google.com/open?id=0B8EHtI8F9qdIYWI5YTdmNzUtNmRkMC00NmRiLTliZjAtMTdkNmM0ZjBhMDEy

Cf. http://arxiv.org/abs/0909.2541


DALAWAT (C):
Final remarks on local discriminants, 
J. Ramanujan Math. Soc. 25.4 (2010), 419--432.
https://drive.google.com/open?id=0B8EHtI8F9qdINTI2N2RlNjgtOGFkMC00Y2IxLWE3YzctMDkyOGNkZDY2M2U5

Cf. http://arxiv.org/abs/0912.2829


SERRE (J-P):
Corps locaux,
Publications de l'Université de Nancago, No. VIII, Hermann,
Paris, 1968, 245 pp.
Cf. https://books.google.com/books?isbn=1475756739
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+Chandan Dalawat sorry, I didn't realise it was your paper :-S. I thought you were being heavily cited along with Serre and others by someone else...
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Mass Formulas for Z_p and F_p Algebras
Author: +Slater Stich​ 
Primary Advisors: Manjul Bhargava, Mark Haiman

University of California
Department of Mathematics
Master’s Thesis

http://newdatascientist.com/slaterstich/papers/ma_thesis.pdf
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Gauss's Hidden Menagerie: From Cyclotomy to Supercharacters

Stephan Ramon Garcia, Trevor Hyde, and Bob Lutz


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That is exactly the kind of things I was convinced we could do with a proper model ! Thank you for your post, I'm saving it for my art days. :')
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Sadly, Ian Cassels ( J.W.S,Cassels) passed away in a nursing home on Monday July 27; I understand that he had suffered a serious fall. The funeral will take place at the Cambridge City Crematorium at 3.15 pm on 13 August.               Bryan Birch
Subject: Ian Cassels. From: bryan birch <[log in to unmask]>. Reply-To: Number Theory List <[log in to unmask]>, bryan birch <[log in to unmask]>. Date: Mon, 10 Aug 2015 13:55:52 +0100. Content-Type: multipart/alternative. Parts/Attachments: ...
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Le podcast Henri Poincaré

LA VALEUR DE LA SCIENCE

en podcast

30 juillet 2015  - Rédigé par  Étienne Ghys
 ·  Translate
La recherche mathématique en mots et en images
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Not a matheux but the father of a matheux and the director of the Tata Institute when we (including the author of the article) were students there.

Peerless trail-blazer

In conversation with B.V. Sreekantan, cosmic ray physicist and astronomer. By R. RAMACHANDRAN
In conversation with B.V. Sreekantan, cosmic ray physicist and astronomer. By R. RAMACHANDRAN
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Summer School for Graduate Students, 2015.
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Rings of small rank over a Dedekind domain and their ideals

Evan O'Dorney
(Submitted on 11 Aug 2015)
Advisor: Benedict Gross

In 2001, M. Bhargava stunned the mathematical world by extending Gauss's 200-year-old group law on integral binary quadratic forms, now familiar as the ideal class group of a quadratic ring, to yield group laws on a vast assortment of analogous objects. His method yields parametrizations of rings of degree up to 5 over the integers, as well as aspects of their ideal structure, and can be employed to yield statistical information about such rings and the associated number fields. 
In this paper, we extend a selection of Bhargava's most striking parametrizations to cases where the base ring is not Z but an arbitrary Dedekind domain R. We find that, once the ideal classes of R are properly included, we readily get bijections parametrizing quadratic, cubic, and quartic rings, as well as an analogue of the 2x2x2 cube law reinterpreting Gauss composition for which Bhargava is famous. We expect that our results will shed light on the analytic distribution of extensions of degree up to 4 of a fixed number field and their ideal structure.

Comments: 31 pages, 1 figure. Harvard College senior thesis, edited
Abstract: In 2001, M. Bhargava stunned the mathematical world by extending Gauss's 200-year-old group law on integral binary quadratic forms, now familiar as the ideal class group of a quadratic ring, to yield group laws on a vast assortment of analogous objects.
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Proceedings of the Tenth Algorithmic Number Theory Symposium

Edited by Everett W. Howe and Kiran S. Kedlaya

DOI: 10.2140/obs.2013.1-1

CONTENTS

Preface

7–9

Everett W. Howe and Kiran S. Kedlaya

Deterministic elliptic curve primality proving for a special sequence of numbers

1–20

Alexander Abatzoglou, Alice Silverberg, Andrew V. Sutherland and Angela Wong

Imaginary quadratic fields with isomorphic abelian Galois groups

21–39

Athanasios Angelakis and Peter Stevenhagen

Iterated Coleman integration for hyperelliptic curves

41–61

Jennifer S. Balakrishnan

Finding ECM-friendly curves through a study of Galois properties

63–86

Razvan Barbulescu, Joppe W. Bos, Cyril Bouvier, Thorsten Kleinjung and Peter L. Montgomery

Two grumpy giants and a baby

87–111

Daniel J. Bernstein and Tanja Lange

Improved techniques for computing the ideal class group and a system of fundamental units in number fields

113–133

Jean-François Biasse and Claus Fieker

Conditionally bounding analytic ranks of elliptic curves

135–144

Jonathan W. Bober

A database of elliptic curves over Q(5√): a first report

145–166

Jonathan Bober, Alyson Deines, Ariah Klages-Mundt, Benjamin LeVeque, R. Andrew Ohana, Ashwath Rabindranath, Paul Sharaba and William Stein

Finding simultaneous Diophantine approximations with prescribed quality

167–185

Wieb Bosma and Ionica Smeets

Success and challenges in determining the rational points on curves

187–212

Nils Bruin

Solving quadratic equations in dimension 5 or more without factoring

213–233

Pierre Castel

Counting value sets: algorithm and complexity

235–248

Qi Cheng, Joshua E. Hill and Daqing Wan

Haberland's formula and numerical computation of Petersson scalar products

249–270

Henri Cohen

Approximate common divisors via lattices

271–293

Henry Cohn and Nadia Heninger

Explicit descent in the Picard group of a cyclic cover of the projective line

295–315

Brendan Creutz

Computing equations of curves with many points

317–334

Virgile Ducet and Claus Fieker

Computing the unit group, class group, and compact representations in algebraic function fields

335–358

Kirsten Eisenträger and Sean Hallgren

The complex polynomials P(x)with Gal(P(x)−t)≅M23

359–367

Noam D. Elkies

Experiments with the transcendental Brauer-Manin obstruction

369–394

Andreas-Stephan Elsenhans and Jörg Jahnel

Explicit 5-descent on elliptic curves

395–411

Tom Fisher

On the density of abelian surfaces with Tate-Shafarevich group of order five times a square

413–435

Stefan Keil and Remke Kloosterman

Improved CRT algorithm for class polynomials in genus 2

437–461

Kristin E. Lauter and Damien Robert

Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent

463–486

Reynald Lercier, Christophe Ritzenthaler and Jeroen Sijsling

Elliptic factors in Jacobians of hyperelliptic curves with certain automorphism groups

487–505

Jennifer Paulhus

Isogeny volcanoes

507–530

Andrew V. Sutherland

On the evaluation of modular polynomials

531–555

Andrew V. Sutherland

Constructing and tabulating dihedral function fields

557–585

Colin Weir, Renate Scheidler and Everett W. Howe


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Basic Information
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चन्दन सिंह दलावत
Story
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Mathematician
Introduction
I work at the Harish-Chandra Research Institute in Allahabad, India.
Work
Occupation
Mathematician
Employment
  • Harish-Chandra Research Institute
    Professor, present
  • Tata Institute of Fundamental Research
    Fellow, 1995 - 2000
  • Université de Rennes 1
    Attaché temporaire, 1993 - 1995
  • Université Paris-Sud XI, Orsay
    Thésard et Attaché temporaire, 1989 - 1993
Had a nice French dinner at the place. Very good service, even though hardly anyone speaks English. Excellent freshly baked breads.
Public - 9 months ago
reviewed 9 months ago
Nice little restaurant frequented by the locals, serving standard Japanese fare. Had a decent lunch after visiting the Simogamo-jinja (下鴨神社) Shinto shrine, more formally known as the Kamo-mioya-jinja (賀茂御祖神社).
Public - 11 months ago
reviewed 11 months ago
The Mrignayani emporium is supposed to open at 11:00, but we had to wait for some twenty minutes for the employees to turn up (on 24/11/2013). It might be a good idea to call them before going there, to make sure that the shop is open.
Public - a year ago
reviewed a year ago
5 reviews
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Among the starters, we took chicken reshmi kebab and chicken achari kebab. Both would have gained if they had moderated the amount of salt. Bhuna mutton didn't have much mutton in it. Otherwise the ambiance and the service are okay.
Public - a year ago
reviewed a year ago
On our first day in Khajuraho, we went out for dinner. Our hotel staff had recommended the restaurant Siddharth, but my son noticed this charming little café on our way to that restaurant, so we decided to try it out the next day. At lunch the next day, we found the place to be clean and nice, with reasonably-priced Indian and European dishes. The service was fine; my son liked the place so much that we had lunch there the next day as well. The place is much frequented by backpackers but by very few Indians, which might explain my strange little experience on our last day in Khajuraho. It almost undid the most sublime experience of visiting the temples and being so lucky as to see a tigress with her cub a few metres from us. We had some coffee --- it was nice to find espresso and mocha in Khajuraho --- before the son-et-lumière show at the temples. As soon as the show got over, we rushed back to Raja to make sure we got a table for dinner. My wife and son went up to the terrace while I wanted to go to the toilet first. It was at this point that I was stopped by a shout --- HEY, WHERE ARE YOU GOING ? --- from one of the employees (in Hindi). I was a little taken aback by the question, and by the tone of the voice. I said : What happened ? The way up is over there, he replied. I know it, I said. Then he came up to me, taking a very threatening posture, and snarled "Is it wrong to point it out ?" I couldn't bear the impertinence any longer but kept my cool. I was curious about the reasons for this disgusting behaviour, so I asked him if he was the owner of the place. No, he said, he is a servant. At this point I decided to overlook him completely. If he had been the owner, I might have given him a piece of my mind. We had a reasonable dinner. After paying the bill, I was still curious as to why this man had behaved so execrably with me, so I asked the manager for an explanation. He made a show of lining up all the employees before me and pretended that there was no person who met my description. I decided to ignore the whole incident. But later it occurred to me that the reason for his behaviour might lie in the fact that Indian clientèle is not welcome during this crucial hour when European tourists come out of the son-et-lumière and are looking for a table to have dinner. So if you are European, you shouldn't have any problem of the kind I had. If you are Indian, it is preferable to wait till Raja's preferred clientèle has been served. You might be admitted after they've left. *Update* The owner has written to me that he is "really really very sorry about what happened and will deal with it in such a way as to make sure that something like this never happens again".
• • •
Public - a year ago
reviewed a year ago