Alfred Menezes

Dr. Alfred Menezes
Professor, Faculty of Mathematics, University of Waterloo

In 1983, as a Grade 13 high school student at St. Aquinas Secondary School in Bramalea, Ontario, Alfred Menezes’ dream was to attend the University of Waterloo. Born in Tanzania and raised in Kuwait, Alfred came to Ontario to live with his aunt and uncle for his final year of high school, with plans to attend university in Canada.

Although he had never used a computer, Alfred and his parents had been assured that a career in computer science would be the path to a good future. “I had good teachers in high school, liked math a lot, and was good at it,” notes Alfred. Waterloo had acquired a reputation as an emerging school for computer science, so he applied to and was accepted by the Faculty of Mathematics.

A visit to Alfred’s math class by Professor Scott Vanstone from the university’s Department of Combinatorics and Optimization in the Faculty of Mathematics was a defining moment in his academic and career path. “Scott talked to us about St. Jerome’s College at UW and gave an informal lecture on cryptography. Before he left, he shook my hand. His visit made a major impression on me – I signed up to live and study at St. Jerome’s right away. I would otherwise never have dreamt of doing so.”

Scott was on sabbatical during Alfred’s first year at St. Jerome’s, but Alfred ran into him again at the beginning of his second year, while lined up to register and pay tuition fees. “I saw Scott, but was too shy to speak to him, so I turned away. Scott stopped and said “Hi Alfred, how’s it going?” – remembering me and my name from his visit to my high school 18 months earlier!”

In Alfred’s third year of study, Scott arranged an undergrad research term for him – the beginning of his research career. “I didn’t have other plans after graduation, so I did a Master’s degree, with Scott as my academic supervisor. I wanted to continue to live in Canada, so went on to complete a PhD, working again with Scott. My work on cryptography progressed from a summer undergrad project to my research focus.” His main areas of research are Elliptic Curve Cryptography (ECC), provable security, and related areas.

Alfred’s first academic position was as a professor at Auburn University in Alabama. When Scott Vanstone and Doug Stinson were awarded research chairs in 1998, creating additional research positions at the University of Waterloo, Alfred returned as a faculty member at his alma mater.

“The field of cryptography is fast-moving. My academic work and interaction with Scott, who had co-founded Certicom with UW faculty members Ron Mullin and Gord Agnew, introduced me to the industry,” says Alfred.  In addition to research and teaching, Alfred has worked as a consultant for Certicom, BlackBerry, InfoSec Global, and TrustPoint Innovation.

While at the University of Waterloo, Alfred co-founded the Centre for Applied Cryptographic Research and served as its Managing Director. He is currently a member of the Cybersecurity and Privacy Institute. In 2001 he won the Hall Medal of the Institute of Combinatorics and its Applications.

Alfred’s book, Elliptic Curve Public Key Cryptosystems, published in 1993, was the first book devoted entirely to ECC. He co-authored, with Scott Vanstone and Paul van Oorschot, the widely-used reference book Handbook of Applied Cryptography.

Alfred’s focus for the last several years has been on teaching. “I have always loved teaching and have taught cryptography 19 times during my tenure at the University of Waterloo.” The very popular course, the largest fourth-year course in the Faculty of Mathematics, has attracted 250 students for each of the last seven offerings. Alfred’s current challenge is to move the class online in order to reach a broader audience.

“I will be retiring from the university next August, and have decided to become a YouTuber!” says Alfred. He started producing video classes during the pandemic and found that using good audio and camera equipment, adding music, special effects and some humour made lectures a bit lively and less boring and generic to students stuck at home watching video lectures all day.

His first courses offered on his YouTube channel, including Error-Correcting Codes and Post-Quantum Cryptography (Kyber and Dilithium), launched in August and have been well-received, with almost 3,000 views in their first two weeks online. “The post-quantum cryptography course is accessible to cryptographers, but not the general public. The next course, on applied cryptography, will be more accessible and should have a larger audience, including undergraduate students who want to focus on cryptography but don’t have a course available to them at their university and the professors in many countries who don’t have the knowledge or the time to learn the material well,” says Alfred. Developers who want to learn more about the field but find that textbooks on the subject are too mathematical, too elementary, or just outdated, are another potential audience.

Alfred plans to work with contacts in southern Africa to gather students from neighbouring universities to watch videos. He will offer follow-up online office hours two or three times per week to answer questions and will conduct further discussions and answer questions on a Discord channel. He is currently developing a three to four-year plan of courses, topics, accessible videos, and potential interviews with notable people to offer via his channel if the audience is large enough.

Alfred Menezes has come a long way from the shy student who enjoyed and excelled at math in high school. He is recognized internationally as an expert in the field of cryptography and his love of teaching is appreciated by his students who routinely rate his courses as “awesome” or “great.” Students’ online comments about his teaching include “One of the best profs I’ve ever had. His lectures are very clear and informative and he has a passion for the subject,” and “Best prof ever!” His YouTube channel will introduce students around the world to cryptography and will provide them the opportunity to benefit from Alfred’s expertise, passion and talent for teaching.

Scott A. Vanstone

The Impact Stories series highlights individuals in our global community who are making, or who have made, a profound impact on inspiring collaborative solutions to the challenges faced by our world today.

Ron Mullin, William Tutte, Scott Vanstone, Alfred Menezes

Scott Vanstone — Pioneer, Visionary and Mentor

When Scott Vanstone first learned about Elliptic Curve Cryptography (ECC) in 1985, he recognized it had the power to change the world. Today, ECC is one of the most powerful types of cryptography securing most of the devices we use every day. Its success is due in large part to Scott’s vision, research and perseverance and to those he mentored and trained during his career as a researcher, professor and entrepreneur.

Scott’s journey from PhD student to world-renowned researcher and company co-founder can be traced back to Bletchley Park, Britain’s secret facility set up in World War II and staffed with young mathematicians to break Nazi codes.

When the Department of Mathematics was founded in 1960 at the newly-established University of Waterloo, its chairman, Ralph Stanton, had the foresight to recruit influential faculty members — including William Tutte, the founder of graph theory and Bletchley Park alum.  In addition to teaching and research, Waterloo offered Tutte the opportunity to mentor graduate students in the emerging field of cryptography.  Ron Mullin was one of those students.

Ron Mullin arrived in Waterloo in 1959 to finish his graduate work and became first-ever UW graduate, receiving an MA in mathematics in 1960.  

Scott Vanstone graduated with his PhD in Mathematics from the University of Waterloo in 1974, working under Ron Mullin’s supervision.  Scott established his career as an assistant professor of Mathematics in the Department of Combinatorics and Optimization (C&O) and, during the early part of his career, concentrated on pure mathematics. However, he quickly became intrigued with cryptography and its potential for real-world applications. 

In 1985, he co-founded Certicom Corp with Professors Ron Mullin and Gord Agnew to commercialize a new mathematical method and chip architecture the team had discovered. 

In addition to his work as a researcher and entrepreneur, Scott was also known for his ability to collaborate with others and bring out the best in his students. He had a unique ability to identify talent immediately and worked with his students to help them achieve their Masters or PhDs and encouraged them to push themselves.

Although Scott passed away in 2014, he continues to have an impact on the future of cryptography. 

Alfred Menezes, now a professor in the C&O Department at UW, was one of those students. Scott visited Menezes’ Brampton high school to encourage him to attend the University of Waterloo. Menezes went on to receive his PhD in 1992 and his thesis was published as the first book on ECC. Today, Menezes is recognized as a leading expert in cryptography. 

Michele Mosca, also a professor in the Waterloo C&O Department, is researching the new generation of cryptography that will be needed with the advancement in quantum computing. As Mosca works on advancing quantum computing and building a stronger cyber immune system, he has looked to Scott’s early work in building Certicom’s contribution to ECC as a playbook. 

Spanning more than 80 years, from breaking Nazi codes to building quantum computers, Scott Vanstone’s distinguished academic heritage and ground-breaking legacy are testament to the profound impact of connections and collaborations.

Scott Vanstone’s Academic Ancestry (click images for larger)