<p> The human brain is a marvel of complexity, with billions of neurons and trillions<br>
of connections that allow us to perform an astounding array of behaviors, from basic<br>
movements like walking and grasping to complex cognitive processes like decision-<br>
making and language. However, despite decades of research, much about how the<br>
brain learns and remembers remains a mystery.</p>
<p><br>
One challenge in understanding the neural basis of learning and memory is that<br>
seemingly simple acts, like taking a sip of water, are in fact immensely complex<br>
processes that require an intricate coordination of neural activity. Yet humans are<br>
able to learn and remember how to perform a vast array of new skills, suggesting<br>
that the brain has the capacity to produce neural activity appropriate for a wide<br>
variety of tasks.</p>
<p><br>
To better understand how the brain learns and remembers new behaviors, it is<br>
important to investigate the interplay between learning and memory. However, this<br>
relationship is not well understood, and a better understanding of it could shed light<br>
on how the brain is able to learn new tasks without forgetting familiar ones.</p>
<p><br>
A difficulty in probing how the brain learns and remembers different tasks is that<br>
the relationship between neural activity and behavior is very complex and difficult to<br>
estimate. To circumvent this obstacle, we employ a brain-computer interface (BCI).<br>
A BCI allows the experimenters to specify the causal relationship between neural<br>
activity and behavior, which can provide insights into the underlying mechanisms of<br>
learning and memory. This is in contrast to traditional arm-reaching experiments,<br>
where the relationship between neural activity and behavior is largely unknown.</p>
<p><br>
The focus of this thesis is to explore the geometry of neural population activity<br>
during motor learning and memory. By leveraging the causal relationship between<br>
neural activity and behavior, we aim to shed light on the complex processes that<br>
underlie motor memories, and to provide insights into how the brain is able to learn<br>
and retain new behaviors. The pinnacle result of this thesis is that learning alters<br>
neural activity to simultaneously support both memory and action - i.e. learning<br>
leaves a “memory trace” in neural population activity.<br>
</p>