*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.