2018 Churchill Scholar

Scott Neville receives Utah's third straight Churchill Scholarship.

Scott Neville of Clearfield, Utah, who graduated from the University of Utah in December with a degree in mathematics and in computer science, has received a prestigious Churchill Scholarship to study at the University of Cambridge in the United Kingdom.

He is one of only 15 students in the U.S. to receive the award this year and is the third Churchill Scholar from the U, all of whom are mathematicians.

“Having three Churchill scholars in the last four years is truly remarkable,” said Ruth Watkins, president of the University of Utah. “There is no doubt that Scott will continue to successfully represent the U at Cambridge.”

Neville was drawn to math when he was introduced to the Collatz Conjecture in high school.

“The conjecture is interesting for its simplicity and difficulty, as well as its lack of consequence,” said Neville. “I proved via enumeration and equation manipulation that there was only one cycle with exactly one odd number, and none with exactly two odd numbers. This was a known result, but I was ecstatic. I realized there were unsolved problems in math and I could answer them.”

Neville enrolled at the U because he was already involved in an applied mathematics project with professor Duncan Metcalfe in the Anthropology department. The objective was to investigate infeasible years in radiocarbon dating. The work was funded by the Undergraduate Research Opportunities Program.

“This was a good learning experience in both research and communicating mathematics, since the senior researcher had only passing familiarity with the math involved,” says Neville.

The project resulted in a poster given at the Undergraduate Research Symposium in 2016.

“In addition, I knew the U had a rigorous mathematics and computer science program, but I hadn’t actually met any of those professors,” says Neville.

While attending the U, Neville presented his work in Japan, completed advanced courses in modern algebra and number theory, and took second place in the ASFM national collegiate mathematics championship in 2017. He also has co-authored three publications with university faculty.

Neville credits many U faculty for helping him through his undergraduate career. Suresh VenkatasubramanianTommaso de Fernex,Duncan MetcalfeArjun KrishnanAditya BhaskaraPeter Trapaand Gordan Savin were each instrumental in helping him with research, presentations, course work and advising.

Neville aspires to become a professor at a research university so he can continue working on math and sharing it with others.

“I want to give back to a community that’s given so much to me. I want to continue learning and pushing the limits of what mathematics, and hence humanity, can do,” said Neville.

The Churchill Scholarship, established in 1963 at the request of Winston Churchill, provides undergraduates with outstanding academic achievement in the science, technology, engineering and math fields the opportunity to complete a one-year Master’s program at the University of Cambridge. The award is worth about $60,000 in U.S. dollars, depending on the exchange rate.

Candidates go through a rigorous endorsement process in order to apply, but only after their home institution has been vetted with the Winston Churchill Foundation. The U was added to the Foundation in spring 2014.

The Churchill Scholarship has been called “the most academically challenging of the U.K. scholarships.”

Neville will begin his studies at Cambridge in October 2018.

 

Under Pressure

Scientists have solved decades long puzzle about lithium, an essential metal in cellphone and computer batteries. Using extreme pressure experiments and powerful supercomputing, the international team has unraveled the mystery of a fundamental property of lithium. Its atoms are arranged in a simple structure, and may be the first direct evidence of a quantum solid behavior in a metal.

Until now, all previous experiments have indicated that lithium’s atoms had a complex arrangement. The idea baffled theoretical physicists. With only three electrons, lithium is the lightest, simplest metal on the periodic table and should have a simple structure to match.

The new study combined theory and experimentation to discover the true structure of lithium at cold temperatures, in its lowest energy state.

Scientists suggest that rapid cooling led lithium atoms to arrange themselves in complex structure and resulted in misinterpretation of the previous experimental results. To avoid this, Shanti Deemyad, associate professor at the University of Utah who led the experimental aspect of the study, applied extreme pressure to the lithium before cooling down the samples.

Deemyad’s research group prepared the lithium samples in tiny pressure cells at the U. The group then traveled to Argonne National Laboratory to apply pressure up to 10,000 times the Earth’s atmosphere by pressing the sample between the tip of two diamonds. They then cooled and depressurized the samples, and examined the structures at low pressure and temperature using X-ray beams.

The researchers looked at two isotopes of lithium — the lighter lithium 6 and heavier lithium 7. They found that the lighter isotope behaves differently in its transitions to lower energy structures under certain thermodynamic paths than the heavier isotope, a behavior previously only seen in helium. The difference means that depending on the weight of the nuclei, there are different ways to get to the lower energy states. This is a quantum solid characteristic.

Graeme Ackland, professor from the University of Edinburgh, led the theoretical aspect of the study by running the most sophisticated calculations of lithium’s structure to date, using advanced quantum mechanics on the ARCHER supercomputer. Both experimentation and theoretical parts of the study found that lithium’s lowest energy structure is not complex or disordered, as previous results had suggested. Instead, its atoms are arranged simply, like oranges in a box.

The study, from the Universities of Edinburgh and Utah, was published in Science.

Corresponding author Deemyad of the University of Utah Department of Physics & Astronomy, said: “Our experiments revealed that lithium is the first metallic element with quantum lattice structure behavior at moderate pressures. This will open up new possibilities for rich physics.”

Co-author Miguel Martinez-Canales of the University of Edinburgh School of Physics and Astronomy, said: “Our calculations needed an accuracy of one in 10 million, and would have taken over 40 years on a normal computer.”

Lead theoretical author Graeme Ackland of the University of Edinburgh School of Physics and Astronomy, said: “We were able to form a true picture of cold lithium by making it using high pressures. Rather than forming a complex structure, it has the simplest arrangement that there can be in nature.”

Adapted from University of Edinburgh release: http://www.ed.ac.uk/news/2017/piling-on-pressure-solves-mystery-about-metal