Dr Brendan M Murphy

BA(SUNY), MA(Rochester), PhD(Rochester)

Research Associate, School of Mathematics
Heilbronn Institute for Mathematical Research
Pure Mathematics

EmailBrendan.Murphy@bristol.ac.uk

BS8 1UG

Research output per year

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12 Article (Academic Journal)
1 Conference Contribution (Conference Proceeding)

13 results

2019

Bisector energy and pinned distances in positive characteristic
Murphy, B., Rudnev, M. & Stevens, S. C. C., 2019, (Submitted) In : SUBMITTED.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
New results on sum-product type growth over fields
Murphy, B., Petridis, G., Roche-Newton, O., Rudnev, M. & Shkredov, I. D., 2 Apr 2019, In : Mathematika. 65, 3, p. 588-642 55 p.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
25 Citations (Scopus)
2018
A Second Wave of Expanders over Finite Fields
Murphy, B. & Petridis, G., 14 Jan 2018, Combinatorial and Additive Number Theory II: CANT, New York, NY, USA, 2015 and 2016. Springer International Publishing AG, (Springer Proceedings in Mathematics and Statistics; vol. 220).
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)
6 Citations (Scopus)
2017
Growth Estimates in Positive Characteristic via Collisions
Yazici, E. A., Murphy, B., Rudnev, M. & Shkredov, I., Dec 2017, In : International Mathematics Research Notices. 2017, 23, p. 7148-7189 42 p., rnw206.
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Open Access
File
20 Citations (Scopus)

291 Downloads (Pure)
On the few products, many sums problem
Murphy, B., Rudnev, M., Shkredov, I. D. & Shteinikov, Y. N., 1 Dec 2017, (Submitted) In : Journal de théorie des nombres de Bordeaux.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Products of Differences over Arbitrary Finite Fields
Murphy, B. & Petridis, G., 18 May 2017, (Submitted) In : Discrete Analysis.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Upper and lower bounds for rich lines in grids
Murphy, B., 29 Sep 2017, (Submitted) In : American Journal of Mathematics.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Variations on the Sum-Product Problem II
Murphy, B., Roche-Newton, O. & Shkredov, I., 2017, In : SIAM Journal on Discrete Mathematics. 31, 3, p. 1878-1894 17 p.
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Open Access
File
11 Citations (Scopus)

219 Downloads (Pure)
2016

A point-line incidence identity in finite fields, and applications
Murphy, B. & Petridis, G., 15 Jan 2016, In : Moscow Journal of Combinatorics and Number Theory,.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
2014
The square root law and structure of finite rings
Iosevich, A., Murphy, B. & Pakianathan, J., 29 May 2014, In : Moscow Journal of Combinatorics and Number Theory,.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
2013
Kakeya Configurations in Lie Groups and Homogeneous Spaces
Murphy, B. & Pakianathan, J., 4 Mar 2013, In : Topology and its Applications.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
The Cardinality of Sumsets: Different Summands
Murphy, B., Palsson, E. A. & Petridis, G., 9 Sep 2013, In : Acta Arithmetica.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Variations on the Sum-Product Problem
Murphy, B., Roche-Newton, O. & Shkredov, I. D., 22 Dec 2013, In : SIAM Journal on Discrete Mathematics.
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Search results