PhD Student
Mathematical Sciences Institute
Australian National University
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email: adrian.dudek[at]anu.edu
blog: mathsface.com
phone: 61 2 6125 5982
Welcome to my ANU page. You may
find it a useful indication of what I do around the university.
Above this
text, you can see a photo of a budding mathematician in need of a good haircut.
If you
click this link,
you can hear a song I recorded about maths some years ago.
NEWS: I am in the process of finishing
up and moving to Sydney to start work. Please use awdudek[at]gmail.com
to contact me.
Candidacy
Since
November of 2012, I have been studying
for a PhD under the supervision of Dr Timothy Trudgian at the Australian National University. My
research is in analytic
number theory, particularly the Riemann zeta-function
and its tender romance with the
distribution of the prime
numbers. I sometimes take a dip into graph theory and other fun things. My explorations are kindly supported by an Australian
Postgraduate Award and an ANU Supplementary Scholarship.
Thesis
I
am currently writing my PhD thesis, which is essentially a collection of some
of my publications from below.
Publications
1.
Almost-Ramanujan Graphs and Prime Gaps, European J. Combin., 2015 (43) 204-209
2.
On
the Riemann Hypothesis and the Difference Between Primes, Int. J. Number
Theory, 2015
3.
An Explicit Result for $|L(1+it, \chi)|$, (to appear) Funct.
Approx. Comment. Math., 2015
4. (with D. Platt) On Solving a Curious Inequality of Ramanujan, (to appear) Exp. Math., 2015
5. On the Sum of a Prime and a Square-free
Number, (to appear) Ramanujan J., 2015
6.
Corrigendum
to “Almost-Ramanujan Graphs and Prime Gaps”, (to
appear) European J. Combin.,
2015
7.
(with L. Grenie and G. Molteni) Primes
in Explicit Short Intervals on RH, (to
appear) Int. J. Number Theory, 2015
8. On the Number of Divisors of $n^2-1$,
(to appear) Bull. Aust. Math. Soc.,
2015
9.
(with D. Platt) On the Sum of the Square of a Prime and
a Square-free Number, (to appear) LMS
J. Comput. Math., 2015
10.
On the Spectrum of the Generalised
Petersen Graphs, (to appear) Graphs
Combin., 2015
Submitted
1.
An Explicit Result for Primes Between
Cubes, Preprint, 2014
2. A New Proof of Euclid’s Theorem, Preprint, 2015
3. On the Distribution of Products of
Primes and Powers, Preprint, 2015
About Me
I
enjoy maths, football (spherical, not ellipsoidal), reading, chess, poker and long romantic walks on the beach.
Some articles for The Conversation
1. Your
number’s up – a case for the usefulness of useless maths (8/4/13)
2. The
RSA algorithm (or how to send private love letters) (10/4/13)
3. The
Monty Hall problem: going with your gut will get your goat (13/6/13)
4. The
birthday problem: what are the odds of sharing b-days? (12/8/13)
5. Putting
maths on the map with the four colour theorem (30/8/13)
Teaching
·
Semester 2 2015: Tutor for MATH3301 Number Theory and
Cryptography (ANU)
·
Semester 1 2015: Tutor for MATH1115 Mathematics and Applications
1 Honours (ANU)
·
Semester 2 2014: Tutor for MATH3301 Number Theory and
Cryptography (ANU)
·
Semester 1 2014: Tutor for MATH1115 Mathematics and Applications
1 Honours (ANU)
·
Semester 2 2013: Tutor for MATH1013 Mathematics and Applications
1 (ANU)
·
Semester 1 2013: Tutor for MATH1115 Mathematics and Applications
1 Honours (ANU)
Curriculum Vitae
You
can click here
to see my CV.
Outreach
I
work with ANU Student Equity as a Senior Community Maths Ambassador. This
involves visiting disadvantaged high schools and getting the students excited about maths. If you’re a student who is interested in doing
this, you should send me an email.
A photo
This space
is intentionally left blank.