Amites Sarkar
Associate Professor
Department of Mathematics
Western Washington University
516 High Street
Bellingham WA 98225
USA
Office: Bond Hall 216
Phone: 360 650 7569
Fax: 360 650 7788
E-mail: amites.sarkar@wwu.edu
Papers
-
Extremal graphs for weights,
Discrete Mathematics 200 (1999), 5-19
(with Béla Bollobás and Paul Erdös)
-
Paths in graphs,
Studia Scientiarum Mathematicarum Hungarica 38 (2001), 115-137
(with Béla Bollobás)
-
Paths of length four,
Discrete Mathematics 265 (2003), 357-363
(with Béla Bollobás)
-
Connectivity of random k-nearest-neighbour graphs,
Advances in Applied Probability 37 (2005), 1-24
(with Paul Balister, Béla Bollobás and Mark Walters)
-
Reliable density estimates for achieving coverage and connectivity in thin strips of finite length,
ACM MobiCom (2007), 75-86
(with Paul Balister, Béla Bollobás and Santosh Kumar)
-
Connectivity of a gaussian network,
Int. J. Ad Hoc and Ubiquitous Computing 3 (2008), 204-213
(with Paul Balister, Béla Bollobás and Mark Walters)
-
Highly connected random geometric graphs,
Discrete Applied Mathematics 157 (2009), 309-320
(with Paul Balister, Béla Bollobás and Mark Walters)
-
A critical constant for the k-nearest-neighbour model,
Advances in Applied Probability 41 (2009), 1-12
(with Paul Balister, Béla Bollobás and Mark Walters)
-
Percolation, connectivity, coverage and colouring of random geometric graphs,
in Handbook of Large-Scale Random Networks, Springer (2009)
(with Paul Balister and Béla Bollobás)
-
The Linus sequence,
Combinatorics, Probability and Computing 19 (2010), 21-46
(with Paul Balister and Steve Kalikow)
-
Sentry selection in wireless networks,
Advances in Applied Probability 42 (2010), 1-25
(with Paul Balister, Béla Bollobás and Mark Walters)
-
The simple random walk on a random Voronoi tiling,
manuscript
(with Louigi Addario-Berry)
-
Secrecy coverage,
Internet Mathematics, to appear
(with Martin Haenggi)
-
Secrecy coverage,
44th Asilomar Conference on Signals, Systems, and Computers (2010):
conference version of above paper
(with Martin Haenggi)
-
Percolation in the secrecy graph,
Information Theory and Applications Workshop, San Diego (2011)
(with Martin Haenggi)
-
Percolation in the secrecy graph,
Discrete Applied Mathematics, to appear:
journal version of above paper
(with Martin Haenggi)
-
Barrier coverage,
submitted
(with Paul Balister and Béla Bollobás)
-
Sentry selection in sensor networks: theory and algorithms,
submitted
(with Paul Balister, Béla Bollobás, Martin Haenggi and Mark Walters)
-
Secrecy coverage in two dimensions,
submitted
Patents
-
US Patent 7010021 Method of generating a time shifted signal
(with Martin Wilcox, Bryan Young and Andrew Yule)
-
US Patent 7733940 Method and apparatus for signal receipt and acquisition
(with Saul Dooley and Andrew Yule)
-
US Patent Application 20030086483 Method and apparatus for spread spectrum signal acquisition
(with Saul Dooley and Andrew Yule)
-
US Patent Application 20060133556 Device, system and method for obtaining timing information and ranging
-
US Patent Application 20060224317 Method of determining a GPS position fix and a GPS receiver for the same
Versions of the first and last items have been granted in Europe as Patents EP 1322973 and EP 1623247 respectively.
Teaching
Spring 2013
302
Introduction to Proofs via Number Theory
304
Linear Algebra
Winter 2013
224
Multivariable Calculus and Analytic Geometry I
503
Galois Theory |
Handout | Homework
1
2 |
Projects
582
Teaching Core College Mathematics
Fall 2012
409
Putnam Seminar | Handouts
19
20
21
419
Historical Perspectives of Mathematics
Spring 2012
204
Elementary Linear Algebra
225
Multivariable Calculus and Analytic Geometry II
Winter 2012
422/522
Methods of Mathematical Analysis II
497E/564
Graph Theory |
Projects
Fall 2011
409
Putnam Seminar
419
Historical Perspectives of Mathematics
Summer 2011
302
Introduction to Proofs via Number Theory
Spring 2011
209
Discrete Mathematics
226
Limits and Infinite Series
Winter 2011
302
Introduction to Proofs via Number Theory
Fall 2010
125 Calculus and Analytic Geometry II
12pm class |
2pm class
409
Putnam Seminar | Handouts
15
16
17
18
Summer 2010
302
Introduction to Proofs via Number Theory
Spring 2010
125
Calculus and Analytic Geometry II
402/502
Introduction to Abstract Algebra II |
Homework
Winter 2010
341
Probability and Statistical Inference
Fall 2009
125
Calculus and Analytic Geometry II
400
Putnam Seminar | Handouts
9
10
11
12
13
14
566
Topics in Combinatorics |
Handout | Homework
1
2 |
Projects
Summer 2009
312
Proofs in Elementary Analysis
341
Probability and Statistical Inference |
Handout
Spring 2009
302
Introduction to Proofs via Number Theory
419
Historical Perspectives of Mathematics
Winter 2009
209
Discrete Mathematics
401
Introduction to Abstract Algebra
Fall 2008
400
Putnam Seminar | Handouts
1
2
3
4
5
6
7
8
564
Graph Theory | Handouts
1
2
3 | Homework
1
2
3 |
Projects
Spring 2008
209
Discrete Mathematics
Winter 2008
125
Calculus and Analytic Geometry II
204
Elementary Linear Algebra
Fall 2007
107
Mathematical Reasoning and Applications
124
Calculus and Analytic Geometry I
Things that make you go hmmm
If a clod bee washed away by the sea
Even that which he hath
He ain't heavy