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When Taylor Markham started her undergraduate studies, she never imagined that she would find her niche in mathematics. However, with an open mind and a willingness to try something new, her undergraduate career solidified into an education in mathematics, a research project in Hawaii, several research grants, and a mission to increase the profile of women in math.

Markham graduates this year with a Bachelor of Science degree from the ��ݮ����Ƶ����.

Cryptography course ‘sealed the deal’ for mathematics career

Although she took her first year of undergraduate studies to explore her options, Markham says, “I made a point of taking courses from several different departments to see what types of courses I enjoyed the most.” After taking a chance on an introductory course in cryptography, she was hooked.

I enjoyed the abstractness of the more advanced courses and how they challenged me to think critically and develop my problem-solving skills.

“I liked how cryptography in particular demonstrated how some of the abstract concepts seen in other mathematics courses can have applications in everyday life," she says. "As my degree progressed, I found myself most intrigued by the cryptography and number theory courses that I had the opportunity to take.”

As she progressed through her undergraduate career, Markham became passionate about sharing her love of the subject with others, particularly if they became exposed to, and excited about, new areas of mathematics.

She began participating in a number of outreach events and programs, including the program, organized by Dr. , PhD. GEM ran a series of workshops for girls in Grades 6 to 8 to learn about various fun mathematics topics. Markham also volunteered at several robotics workshops run by , and was heavily involved with the , becoming their acclaimed president for the 2019-2020 academic year. 

Study abroad opportunity a transformative experience

Markham's excellence in, and passion for, her chosen field of study did not go unnoticed. In 2019, she applied for and received a Research Award and an scholarship through the that allowed her to do a summer research project in Hawaii. She was the first Faculty of Science student to apply for the Globalink award after the agreement between the ��ݮ����Ƶ���� and Mitacs.

Focusing on the topic of integer factorization in an area of mathematics called computational number theory, Markham was supervised by Dr. Annie Carter at the (UH ����ԴDz�) — where the majority of her research took place — and in the .

While in Hawaii, she was also able to participate in the Summer Undergraduate Research Experience (SURE), which organized workshops to help build professional and academic skills. Near the end of Markham's time in Hawaii, she had the opportunity to share what she had been working on by giving talks at the SURE Symposium and at the UH ����ԴDz� Department of Mathematics number theory seminar. She completed the remaining few weeks of her research with Bauer upon returning to Calgary.

“The research placement seemed to be a pivotal moment for Taylor,” says Heather Clitheroe, international co-ordinator in the Faculty of Science. “She was already a strong young woman, but something really was different about her in a very positive way when she came back. I’m thrilled that she’s moving on to graduate-level study.”

Applying math to everyday life

Upon her return to ��ݮ����Ƶ����, Markham received an (USRA) from the Natural Sciences and Engineering Research Council of Canada (NSERC) in winter 2020, and began working on a project under the supervision of , PhD, in the Department of Mathematics and Statistics, and , PhD, in the .

The purpose of the project was to update the in BI 540 to show the connection between mathematics and various biological phenomena by creating a combination of visual displays and accompanying text. For this project, Markham researched Alan Turing’s mechanism for spot/stripe patterns, the fractal formation of ammonite sutures, and the hyperbolic geometry of coral reefs.

“Taylor is a very professional student and she is very outcome oriented. It has been a pleasure to collaborate with her both in and out of the classroom because she can simultaneously be personable and effective at accomplishing the task at hand,” says Bauer. "As a math major, I feel that she is a kindred spirit because she has shown an interest in so many different subjects. She takes a very liberal arts approach to her science education, which is very similar to the way that I approach mathematics and its place in art, society and science.”

After graduating with her undergraduate degree, Markham will be continuing her education. She was accepted into the graduate program in mathematics and statistics in the Faculty of Science, where she will pursue her studies under the supervision of Mark Bauer. 

Her advice to young women looking to explore their strengths in mathematics? Get out and participate! “We have a really good community here,” she says. “Participating in events will open up more opportunities, and you can just go from there.”

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